Least Common Multiple of 24, 49, 98, 6, 75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 24, 49, 98, 6, 75 i.e. 29400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 24, 49, 98, 6, 75 is 29400.

LCM(24, 49, 98, 6, 75) = 29400

LCM of 24, 49, 98, 6, 75

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 24,49,98,6,75

Least Common Multiple (LCM) of 24,49,98,6,75 is 29400

2 24, 49, 98, 6, 75
3 12, 49, 49, 3, 75
7 4, 49, 49, 1, 25
7 4, 7, 7, 1, 25
4, 1, 1, 1, 25

∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 4 x 1 x 1 x 1 x 25 = 29400

Least Common Multiple of 24,49,98,6,75 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 24,49,98,6,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,49,98,6,75) = 1

common factors(in case of two or more numbers have common factors) = 1764

GCF(24,49,98,6,75) x common factors =1 x 1764 = 1764

LCM(24,49,98,6,75) = ( 24 × 49 × 98 × 6 × 75 ) / 1764

LCM(24,49,98,6,75) = 51861600 / 1764

LCM(24,49,98,6,75) = 29400

∴ Least Common Multiple of 24,49,98,6,75 is 29400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 24, 49, 98, 6, 75

1. What is the LCM of 24, 49, 98, 6, 75?

Answer: LCM of 24, 49, 98, 6, 75 is 29400.

2. What are the Factors of 29400?

Answer: Factors of 29400 are . There are integers that are factors of 29400

3. How to Find the LCM of 24, 49, 98, 6, 75 ?

Least Common Multiple of 24, 49, 98, 6, 75.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(24, 49, 98, 6, 75) = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 7 = 29400.