Least Common Multiple of 975/76, 162/6776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/76, 162/6776 quickly i.e. 52650/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/76, 162/6776 is 52650/4.

LCM(975/76, 162/6776) = 52650/4

LCM of 975/76, 162/6776

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 975/76,162/6776

Given numbers are 975/76,162/6776

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 975,162

Least Common Multiple of Numerators i.e. LCM of 975,162 is 52650.

GCF of Denominators means GCF of 76,6776 as per the given fractions.

GCF of 76,6776 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,162

LCM of Fractions 975/76,162/6776 is 52650/4

3 975, 162
325, 54

∴ So the LCM of the given numbers is 3 x 325 x 54 = 52650

Least Common Multiple of 975,162 with GCF Formula

Least Common Multiple of 975,162 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 975,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,162) = 3

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

GCF(975,162) x common factors =3 x 1 = 3

LCM(975,162) = ( 975 × 162 ) / 3

LCM(975,162) = 157950 / 3

LCM(975,162) = 52650


Lets's calculate GCF of 76,6776

2 76, 6776
2 38, 3388
19, 1694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52650/4

Therefore the LCM of Fractions 975/76,162/6776 is 52650/4

Greatest Common Factor of 76,6776 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,6776 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 6776

List of positive integer factors of 6776 that divides 6776 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,121,154,242,308,484,616,847,968,1694,3388,6776

Greatest Common Factor

We found the factors 76,6776 . The biggest common factor number is the GCF number.
So the greatest common factor 76,6776 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 975/76, 162/6776

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 975/76, 162/6776?

Answer: LCM of Numerators as per given numbers 975/76, 162/6776 is

LCM of Numerators i.e. for 975,162 is 52650

GCF of denominators i.e. for 76,6776 is 4.

Thus, LCM of Fractions is 52650/4.Finally, LCM of Fractions for 975/76, 162/6776 is 52650/4.