Least Common Multiple of 8160/126, 6715/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8160/126, 6715/714 quickly i.e. 644640/42 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8160/126, 6715/714 is 644640/42.

LCM(8160/126, 6715/714) = 644640/42

LCM of 8160/126, 6715/714

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 8160/126,6715/714

Given numbers are 8160/126,6715/714

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 8160,6715

Least Common Multiple of Numerators i.e. LCM of 8160,6715 is 644640.

GCF of Denominators means GCF of 126,714 as per the given fractions.

GCF of 126,714 is 42 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8160,6715

LCM of Fractions 8160/126,6715/714 is 644640/42

5 8160, 6715
17 1632, 1343
96, 79

∴ So the LCM of the given numbers is 5 x 17 x 96 x 79 = 644640

Least Common Multiple of 8160,6715 with GCF Formula

Least Common Multiple of 8160,6715 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 8160,6715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8160,6715) = 85

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

GCF(8160,6715) x common factors =85 x 1 = 85

LCM(8160,6715) = ( 8160 × 6715 ) / 85

LCM(8160,6715) = 54794400 / 85

LCM(8160,6715) = 644640


Lets's calculate GCF of 126,714

2 126, 714
3 63, 357
7 21, 119
3, 17

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644640/42

Therefore the LCM of Fractions 8160/126,6715/714 is 644640/42

Greatest Common Factor of 126,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,714 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 126,714 . The biggest common factor number is the GCF number.
So the greatest common factor 126,714 is 42.


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 8160/126, 6715/714

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 8160/126, 6715/714?

Answer: LCM of Numerators as per given numbers 8160/126, 6715/714 is

LCM of Numerators i.e. for 8160,6715 is 644640

GCF of denominators i.e. for 126,714 is 42.

Thus, LCM of Fractions is 644640/42.Finally, LCM of Fractions for 8160/126, 6715/714 is 644640/42.