Least Common Multiple of 9002/747, 1460/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9002/747, 1460/988 quickly i.e. 6571460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9002/747, 1460/988 is 6571460.

LCM(9002/747, 1460/988) = 6571460

LCM of 9002/747, 1460/988

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 9002/747,1460/988

Given numbers are 9002/747,1460/988

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 9002,1460

Least Common Multiple of Numerators i.e. LCM of 9002,1460 is 6571460.

GCF of Denominators means GCF of 747,988 as per the given fractions.

GCF of 747,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9002,1460

LCM of Fractions 9002/747,1460/988 is 6571460

2 9002, 1460
4501, 730

∴ So the LCM of the given numbers is 2 x 4501 x 730 = 6571460

Least Common Multiple of 9002,1460 with GCF Formula

Least Common Multiple of 9002,1460 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 9002,1460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9002,1460) = 2

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

GCF(9002,1460) x common factors =2 x 1 = 2

LCM(9002,1460) = ( 9002 × 1460 ) / 2

LCM(9002,1460) = 13142920 / 2

LCM(9002,1460) = 6571460


Lets's calculate GCF of 747,988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6571460/1

Therefore the LCM of Fractions 9002/747,1460/988 is 6571460

Greatest Common Factor of 747,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,988 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 747,988 . The biggest common factor number is the GCF number.
So the greatest common factor 747,988 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9002/747, 1460/988

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 9002/747, 1460/988?

Answer: LCM of Numerators as per given numbers 9002/747, 1460/988 is

LCM of Numerators i.e. for 9002,1460 is 6571460

GCF of denominators i.e. for 747,988 is 1.

Thus, LCM of Fractions is 6571460.Finally, LCM of Fractions for 9002/747, 1460/988 is 6571460.