Least Common Multiple of 4756/688, 2664/4892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4756/688, 2664/4892 quickly i.e. 791874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4756/688, 2664/4892 is 791874.

LCM(4756/688, 2664/4892) = 791874

LCM of 4756/688, 2664/4892

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 4756/688,2664/4892

Given numbers are 4756/688,2664/4892

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 4756,2664

Least Common Multiple of Numerators i.e. LCM of 4756,2664 is 3167496.

GCF of Denominators means GCF of 688,4892 as per the given fractions.

GCF of 688,4892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4756,2664

LCM of Fractions 4756/688,2664/4892 is 791874

2 4756, 2664
2 2378, 1332
1189, 666

∴ So the LCM of the given numbers is 2 x 2 x 1189 x 666 = 3167496

Least Common Multiple of 4756,2664 with GCF Formula

Least Common Multiple of 4756,2664 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 4756,2664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4756,2664) = 4

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

GCF(4756,2664) x common factors =4 x 1 = 4

LCM(4756,2664) = ( 4756 × 2664 ) / 4

LCM(4756,2664) = 12669984 / 4

LCM(4756,2664) = 3167496


Lets's calculate GCF of 688,4892

2 688, 4892
2 344, 2446
172, 1223

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3167496/4

Therefore the LCM of Fractions 4756/688,2664/4892 is 791874

Greatest Common Factor of 688,4892 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,4892 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 4892

List of positive integer factors of 4892 that divides 4892 without a remainder.

1,2,4,1223,2446,4892

Greatest Common Factor

We found the factors 688,4892 . The biggest common factor number is the GCF number.
So the greatest common factor 688,4892 is 4.


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 4756/688, 2664/4892

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 4756/688, 2664/4892?

Answer: LCM of Numerators as per given numbers 4756/688, 2664/4892 is

LCM of Numerators i.e. for 4756,2664 is 3167496

GCF of denominators i.e. for 688,4892 is 4.

Thus, LCM of Fractions is 791874.Finally, LCM of Fractions for 4756/688, 2664/4892 is 791874.