Least Common Multiple of 375/93, 500/6984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 375/93, 500/6984 quickly i.e. 500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 375/93, 500/6984 is 500.

LCM(375/93, 500/6984) = 500

LCM of 375/93, 500/6984

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 375/93,500/6984

Given numbers are 375/93,500/6984

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 375,500

Least Common Multiple of Numerators i.e. LCM of 375,500 is 1500.

GCF of Denominators means GCF of 93,6984 as per the given fractions.

GCF of 93,6984 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 375,500

LCM of Fractions 375/93,500/6984 is 500

5 375, 500
5 75, 100
5 15, 20
3, 4

∴ So the LCM of the given numbers is 5 x 5 x 5 x 3 x 4 = 1500

Least Common Multiple of 375,500 with GCF Formula

Least Common Multiple of 375,500 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 375,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,500) = 125

common factors(in case of two or more numbers have common factors) = 1

GCF(375,500) x common factors =125 x 1 = 125

LCM(375,500) = ( 375 × 500 ) / 125

LCM(375,500) = 187500 / 125

LCM(375,500) = 1500


Lets's calculate GCF of 93,6984

3 93, 6984
31, 2328

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1500/3

Therefore the LCM of Fractions 375/93,500/6984 is 500

Greatest Common Factor of 93,6984 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,6984 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 6984

List of positive integer factors of 6984 that divides 6984 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984

Greatest Common Factor

We found the factors 93,6984 . The biggest common factor number is the GCF number.
So the greatest common factor 93,6984 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 375/93, 500/6984

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 375/93, 500/6984?

Answer: LCM of Numerators as per given numbers 375/93, 500/6984 is

LCM of Numerators i.e. for 375,500 is 1500

GCF of denominators i.e. for 93,6984 is 3.

Thus, LCM of Fractions is 500.Finally, LCM of Fractions for 375/93, 500/6984 is 500.