Least Common Multiple of 931/975, 905/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 931/975, 905/678 quickly i.e. 842555/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/975, 905/678 is 842555/3.

LCM(931/975, 905/678) = 842555/3

LCM of 931/975, 905/678

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 931/975,905/678

Given numbers are 931/975,905/678

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 931,905

Least Common Multiple of Numerators i.e. LCM of 931,905 is 842555.

GCF of Denominators means GCF of 975,678 as per the given fractions.

GCF of 975,678 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,905

LCM of Fractions 931/975,905/678 is 842555/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 842555

Least Common Multiple of 931,905 with GCF Formula

Least Common Multiple of 931,905 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 931,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,905) = 1

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

GCF(931,905) x common factors =1 x 1 = 1

LCM(931,905) = ( 931 × 905 ) / 1

LCM(931,905) = 842555 / 1

LCM(931,905) = 842555


Lets's calculate GCF of 975,678

3 975, 678
325, 226

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 842555/3

Therefore the LCM of Fractions 931/975,905/678 is 842555/3

Greatest Common Factor of 975,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,678 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 975,678 . The biggest common factor number is the GCF number.
So the greatest common factor 975,678 is 3.


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 931/975, 905/678

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 931/975, 905/678?

Answer: LCM of Numerators as per given numbers 931/975, 905/678 is

LCM of Numerators i.e. for 931,905 is 842555

GCF of denominators i.e. for 975,678 is 3.

Thus, LCM of Fractions is 842555/3.Finally, LCM of Fractions for 931/975, 905/678 is 842555/3.