Least Common Multiple of 1557/294, 9552/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1557/294, 9552/662 quickly i.e. 2478744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1557/294, 9552/662 is 2478744.

LCM(1557/294, 9552/662) = 2478744

LCM of 1557/294, 9552/662

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 1557/294,9552/662

Given numbers are 1557/294,9552/662

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 1557,9552

Least Common Multiple of Numerators i.e. LCM of 1557,9552 is 4957488.

GCF of Denominators means GCF of 294,662 as per the given fractions.

GCF of 294,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1557,9552

LCM of Fractions 1557/294,9552/662 is 2478744

3 1557, 9552
519, 3184

∴ So the LCM of the given numbers is 3 x 519 x 3184 = 4957488

Least Common Multiple of 1557,9552 with GCF Formula

Least Common Multiple of 1557,9552 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 1557,9552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1557,9552) = 3

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

GCF(1557,9552) x common factors =3 x 1 = 3

LCM(1557,9552) = ( 1557 × 9552 ) / 3

LCM(1557,9552) = 14872464 / 3

LCM(1557,9552) = 4957488


Lets's calculate GCF of 294,662

2 294, 662
147, 331

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4957488/2

Therefore the LCM of Fractions 1557/294,9552/662 is 2478744

Greatest Common Factor of 294,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,662 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 294,662 . The biggest common factor number is the GCF number.
So the greatest common factor 294,662 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 1557/294, 9552/662

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 1557/294, 9552/662?

Answer: LCM of Numerators as per given numbers 1557/294, 9552/662 is

LCM of Numerators i.e. for 1557,9552 is 4957488

GCF of denominators i.e. for 294,662 is 2.

Thus, LCM of Fractions is 2478744.Finally, LCM of Fractions for 1557/294, 9552/662 is 2478744.