Home
Additive Identity
Algebraic Expression
Arithmetic Expression
Associative Property
Averages
Brackets
Closure Property
Coefficient Of Variable
Commutative Property
Constants
Divisibility Principles
Factors
Fractions
H.C.F / G.C.D
Integers
L.C.M
Multipication Properties of Numbers
Multiples
Multiplicative Identity
Numbers
Order of Numbers
Percentages
Profit and Loss
Ratio and Proportion
Sieve of Eratosthenes
Unitary Method
Variables
| Division Method (LCM) Division Method | Prime Factorisation Method | Study the following examples to understand How to calculate LCM by Division Method ?
Example = 1 By using Division Method, find the LCM of 24 & 18 ?
Answer = Steps of finding HCF by Successive Division Method is as :-
2 | 24 18 Step 1 = Write the given numbers as shown on the left and divide them with the least prime number i.e 2.
2 | 12 9 Step 2 = On division, write the quotient in each case below the number.
2 | 6 9 Step 3 = If any number is not divisible by its respective divisior, it is to be written as such in the next line.
3 | 3 9 Step 4 = Keep on dividing the quotient until you get 1(as quotient of all) in the last row.
3 | 1 3 Step 5 = Multiply all the divisors to get LCM of given numbers.
| 1 1 Step 6 = Hence, LCM = 2 × 2 × 2 × 3 × 3 = 72.
Example = 1 Find the LCM of 20, 30,& 40 by Division Method ?
Answer = Steps of finding HCF by Successive Division Method is as :-
2 | 20 30 40 Step 1 = Write the given numbers as shown on the left and divide them with the least prime number i.e 2.
2 | 10 15 20 Step 2 = On division, write the quotient in each case below the number.
2 | 5 15 10 Step 3 = If any number is not divisible by its respective divisior, it is to be written as such in the next line.
3 | 5 15 5 Step 4 = Keep on dividing the quotient until you get 1(as quotient of all) in the last row.
5 | 5 5 5 Step 5 = Multiply all the divisors to get LCM of given numbers.
| 1 1 1 Step 6 = Hence, LCM = 2 × 2 × 2 × 3 × 5 = 120.
|