Least Common Multiple of 975/77, 701/6982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/77, 701/6982 quickly i.e. 683475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/77, 701/6982 is 683475.

LCM(975/77, 701/6982) = 683475

LCM of 975/77, 701/6982

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 975/77,701/6982

Given numbers are 975/77,701/6982

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 975,701

Least Common Multiple of Numerators i.e. LCM of 975,701 is 683475.

GCF of Denominators means GCF of 77,6982 as per the given fractions.

GCF of 77,6982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,701

LCM of Fractions 975/77,701/6982 is 683475

Given numbers has no common factors except 1. So, there LCM is their product i.e 683475

Least Common Multiple of 975,701 with GCF Formula

Least Common Multiple of 975,701 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 975,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,701) = 1

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

GCF(975,701) x common factors =1 x 1 = 1

LCM(975,701) = ( 975 × 701 ) / 1

LCM(975,701) = 683475 / 1

LCM(975,701) = 683475


Lets's calculate GCF of 77,6982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683475/1

Therefore the LCM of Fractions 975/77,701/6982 is 683475

Greatest Common Factor of 77,6982 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,6982 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 6982

List of positive integer factors of 6982 that divides 6982 without a remainder.

1,2,3491,6982

Greatest Common Factor

We found the factors 77,6982 . The biggest common factor number is the GCF number.
So the greatest common factor 77,6982 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 975/77, 701/6982

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 975/77, 701/6982?

Answer: LCM of Numerators as per given numbers 975/77, 701/6982 is

LCM of Numerators i.e. for 975,701 is 683475

GCF of denominators i.e. for 77,6982 is 1.

Thus, LCM of Fractions is 683475.Finally, LCM of Fractions for 975/77, 701/6982 is 683475.