Least Common Multiple of 670/968, 541/114, 317/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/968, 541/114, 317/921 quickly i.e. 114902990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/968, 541/114, 317/921 is 114902990.

LCM(670/968, 541/114, 317/921) = 114902990

LCM of 670/968, 541/114, 317/921

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 670/968,541/114,317/921

Given numbers are 670/968,541/114,317/921

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 670,541,317

Least Common Multiple of Numerators i.e. LCM of 670,541,317 is 114902990.

GCF of Denominators means GCF of 968,114,921 as per the given fractions.

GCF of 968,114,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,541,317

LCM of Fractions 670/968,541/114,317/921 is 114902990

Given numbers has no common factors except 1. So, there LCM is their product i.e 114902990

Least Common Multiple of 670,541,317 with GCF Formula

Least Common Multiple of 670,541,317 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 670,541,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,541,317) = 1

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

GCF(670,541,317) x common factors =1 x 1 = 1

LCM(670,541,317) = ( 670 × 541 × 317 ) / 1

LCM(670,541,317) = 114902990 / 1

LCM(670,541,317) = 114902990


Lets's calculate GCF of 968,114,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114902990/1

Therefore the LCM of Fractions 670/968,541/114,317/921 is 114902990

Greatest Common Factor of 968,114,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,114,921 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 968,114,921 . The biggest common factor number is the GCF number.
So the greatest common factor 968,114,921 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 670/968, 541/114, 317/921

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 670/968, 541/114, 317/921?

Answer: LCM of Numerators as per given numbers 670/968, 541/114, 317/921 is

LCM of Numerators i.e. for 670,541,317 is 114902990

GCF of denominators i.e. for 968,114,921 is 1.

Thus, LCM of Fractions is 114902990.Finally, LCM of Fractions for 670/968, 541/114, 317/921 is 114902990.