Least Common Multiple of 537/654, 692/965, 838/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/654, 692/965, 838/351 quickly i.e. 155702076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/654, 692/965, 838/351 is 155702076.

LCM(537/654, 692/965, 838/351) = 155702076

LCM of 537/654, 692/965, 838/351

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 537/654,692/965,838/351

Given numbers are 537/654,692/965,838/351

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 537,692,838

Least Common Multiple of Numerators i.e. LCM of 537,692,838 is 155702076.

GCF of Denominators means GCF of 654,965,351 as per the given fractions.

GCF of 654,965,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,692,838

LCM of Fractions 537/654,692/965,838/351 is 155702076

2 537, 692, 838
537, 346, 419

∴ So the LCM of the given numbers is 2 x 537 x 346 x 419 = 155702076

Least Common Multiple of 537,692,838 with GCF Formula

Least Common Multiple of 537,692,838 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 537,692,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,692,838) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(537,692,838) x common factors =1 x 2 = 2

LCM(537,692,838) = ( 537 × 692 × 838 ) / 2

LCM(537,692,838) = 311404152 / 2

LCM(537,692,838) = 155702076


Lets's calculate GCF of 654,965,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155702076/1

Therefore the LCM of Fractions 537/654,692/965,838/351 is 155702076

Greatest Common Factor of 654,965,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,965,351 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 654,965,351 . The biggest common factor number is the GCF number.
So the greatest common factor 654,965,351 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 537/654, 692/965, 838/351

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 537/654, 692/965, 838/351?

Answer: LCM of Numerators as per given numbers 537/654, 692/965, 838/351 is

LCM of Numerators i.e. for 537,692,838 is 155702076

GCF of denominators i.e. for 654,965,351 is 1.

Thus, LCM of Fractions is 155702076.Finally, LCM of Fractions for 537/654, 692/965, 838/351 is 155702076.