Least Common Multiple of 974/530, 902/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 974/530, 902/486 quickly i.e. 219637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/530, 902/486 is 219637.

LCM(974/530, 902/486) = 219637

LCM of 974/530, 902/486

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 974/530,902/486

Given numbers are 974/530,902/486

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 974,902

Least Common Multiple of Numerators i.e. LCM of 974,902 is 439274.

GCF of Denominators means GCF of 530,486 as per the given fractions.

GCF of 530,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,902

LCM of Fractions 974/530,902/486 is 219637

2 974, 902
487, 451

∴ So the LCM of the given numbers is 2 x 487 x 451 = 439274

Least Common Multiple of 974,902 with GCF Formula

Least Common Multiple of 974,902 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 974,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,902) = 2

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

GCF(974,902) x common factors =2 x 1 = 2

LCM(974,902) = ( 974 × 902 ) / 2

LCM(974,902) = 878548 / 2

LCM(974,902) = 439274


Lets's calculate GCF of 530,486

2 530, 486
265, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 439274/2

Therefore the LCM of Fractions 974/530,902/486 is 219637

Greatest Common Factor of 530,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,486 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 530,486 . The biggest common factor number is the GCF number.
So the greatest common factor 530,486 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 974/530, 902/486

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 974/530, 902/486?

Answer: LCM of Numerators as per given numbers 974/530, 902/486 is

LCM of Numerators i.e. for 974,902 is 439274

GCF of denominators i.e. for 530,486 is 2.

Thus, LCM of Fractions is 219637.Finally, LCM of Fractions for 974/530, 902/486 is 219637.