Least Common Multiple of 500/88, 735/6754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/88, 735/6754 quickly i.e. 73500/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/88, 735/6754 is 73500/22.

LCM(500/88, 735/6754) = 73500/22

LCM of 500/88, 735/6754

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 500/88,735/6754

Given numbers are 500/88,735/6754

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 500,735

Least Common Multiple of Numerators i.e. LCM of 500,735 is 73500.

GCF of Denominators means GCF of 88,6754 as per the given fractions.

GCF of 88,6754 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,735

LCM of Fractions 500/88,735/6754 is 73500/22

5 500, 735
100, 147

∴ So the LCM of the given numbers is 5 x 100 x 147 = 73500

Least Common Multiple of 500,735 with GCF Formula

Least Common Multiple of 500,735 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 500,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,735) = 5

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

GCF(500,735) x common factors =5 x 1 = 5

LCM(500,735) = ( 500 × 735 ) / 5

LCM(500,735) = 367500 / 5

LCM(500,735) = 73500


Lets's calculate GCF of 88,6754

2 88, 6754
11 44, 3377
4, 307

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73500/22

Therefore the LCM of Fractions 500/88,735/6754 is 73500/22

Greatest Common Factor of 88,6754 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,6754 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 6754

List of positive integer factors of 6754 that divides 6754 without a remainder.

1,2,11,22,307,614,3377,6754

Greatest Common Factor

We found the factors 88,6754 . The biggest common factor number is the GCF number.
So the greatest common factor 88,6754 is 22.


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 500/88, 735/6754

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 500/88, 735/6754?

Answer: LCM of Numerators as per given numbers 500/88, 735/6754 is

LCM of Numerators i.e. for 500,735 is 73500

GCF of denominators i.e. for 88,6754 is 22.

Thus, LCM of Fractions is 73500/22.Finally, LCM of Fractions for 500/88, 735/6754 is 73500/22.