Least Common Multiple of 6126/167, 3714/5523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6126/167, 3714/5523 quickly i.e. 3791994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6126/167, 3714/5523 is 3791994.

LCM(6126/167, 3714/5523) = 3791994

LCM of 6126/167, 3714/5523

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 6126/167,3714/5523

Given numbers are 6126/167,3714/5523

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 6126,3714

Least Common Multiple of Numerators i.e. LCM of 6126,3714 is 3791994.

GCF of Denominators means GCF of 167,5523 as per the given fractions.

GCF of 167,5523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6126,3714

LCM of Fractions 6126/167,3714/5523 is 3791994

2 6126, 3714
3 3063, 1857
1021, 619

∴ So the LCM of the given numbers is 2 x 3 x 1021 x 619 = 3791994

Least Common Multiple of 6126,3714 with GCF Formula

Least Common Multiple of 6126,3714 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 6126,3714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6126,3714) = 6

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

GCF(6126,3714) x common factors =6 x 1 = 6

LCM(6126,3714) = ( 6126 × 3714 ) / 6

LCM(6126,3714) = 22751964 / 6

LCM(6126,3714) = 3791994


Lets's calculate GCF of 167,5523

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3791994/1

Therefore the LCM of Fractions 6126/167,3714/5523 is 3791994

Greatest Common Factor of 167,5523 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,5523 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 5523

List of positive integer factors of 5523 that divides 5523 without a remainder.

1,3,7,21,263,789,1841,5523

Greatest Common Factor

We found the factors 167,5523 . The biggest common factor number is the GCF number.
So the greatest common factor 167,5523 is 1.


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 6126/167, 3714/5523

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 6126/167, 3714/5523?

Answer: LCM of Numerators as per given numbers 6126/167, 3714/5523 is

LCM of Numerators i.e. for 6126,3714 is 3791994

GCF of denominators i.e. for 167,5523 is 1.

Thus, LCM of Fractions is 3791994.Finally, LCM of Fractions for 6126/167, 3714/5523 is 3791994.