Least Common Multiple of 98, 75, 30, 532

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 98, 75, 30, 532 i.e. 279300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 98, 75, 30, 532 is 279300.

LCM(98, 75, 30, 532) = 279300

LCM of 98, 75, 30, 532

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

LCM of:

Least Common Multiple of 98,75,30,532

Least Common Multiple (LCM) of 98,75,30,532 is 279300

2 98, 75, 30, 532
3 49, 75, 15, 266
5 49, 25, 5, 266
7 49, 1, 5, 266
7, 1, 5, 38

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 7 x 1 x 5 x 38 = 279300

Least Common Multiple of 98,75,30,532 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 98,75,30,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,75,30,532) = 1

common factors(in case of two or more numbers have common factors) = 420

GCF(98,75,30,532) x common factors =1 x 420 = 420

LCM(98,75,30,532) = ( 98 × 75 × 30 × 532 ) / 420

LCM(98,75,30,532) = 117306000 / 420

LCM(98,75,30,532) = 279300

∴ Least Common Multiple of 98,75,30,532 is 279300

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 98, 75, 30, 532

1. What is the LCM of 98, 75, 30, 532?

Answer: LCM of 98, 75, 30, 532 is 279300.

2. What are the Factors of 279300?

Answer: Factors of 279300 are . There are integers that are factors of 279300

3. How to Find the LCM of 98, 75, 30, 532 ?

Least Common Multiple of 98, 75, 30, 532.

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(98, 75, 30, 532) = 2 x 2 x 3 x 5 x 5 x 7 x 7 x 19 = 279300.