Least Common Multiple of 92/65, 57/94, 11/21, 17/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/65, 57/94, 11/21, 17/507 quickly i.e. 980628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/65, 57/94, 11/21, 17/507 is 980628.

LCM(92/65, 57/94, 11/21, 17/507) = 980628

LCM of 92/65, 57/94, 11/21, 17/507

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 92/65,57/94,11/21,17/507

Given numbers are 92/65,57/94,11/21,17/507

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 92,57,11,17

Least Common Multiple of Numerators i.e. LCM of 92,57,11,17 is 980628.

GCF of Denominators means GCF of 65,94,21,507 as per the given fractions.

GCF of 65,94,21,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,57,11,17

LCM of Fractions 92/65,57/94,11/21,17/507 is 980628

Given numbers has no common factors except 1. So, there LCM is their product i.e 980628

Least Common Multiple of 92,57,11,17 with GCF Formula

Least Common Multiple of 92,57,11,17 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 92,57,11,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,57,11,17) = 1

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

GCF(92,57,11,17) x common factors =1 x 1 = 1

LCM(92,57,11,17) = ( 92 × 57 × 11 × 17 ) / 1

LCM(92,57,11,17) = 980628 / 1

LCM(92,57,11,17) = 980628


Lets's calculate GCF of 65,94,21,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 980628/1

Therefore the LCM of Fractions 92/65,57/94,11/21,17/507 is 980628

Greatest Common Factor of 65,94,21,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,94,21,507 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 65,94,21,507 . The biggest common factor number is the GCF number.
So the greatest common factor 65,94,21,507 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 92/65, 57/94, 11/21, 17/507

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 92/65, 57/94, 11/21, 17/507?

Answer: LCM of Numerators as per given numbers 92/65, 57/94, 11/21, 17/507 is

LCM of Numerators i.e. for 92,57,11,17 is 980628

GCF of denominators i.e. for 65,94,21,507 is 1.

Thus, LCM of Fractions is 980628.Finally, LCM of Fractions for 92/65, 57/94, 11/21, 17/507 is 980628.