Least Common Multiple of 974/132, 537/688, 506/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/132, 537/688, 506/658 quickly i.e. 66164307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/132, 537/688, 506/658 is 66164307.

LCM(974/132, 537/688, 506/658) = 66164307

LCM of 974/132, 537/688, 506/658

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 974/132,537/688,506/658

Given numbers are 974/132,537/688,506/658

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 974,537,506

Least Common Multiple of Numerators i.e. LCM of 974,537,506 is 132328614.

GCF of Denominators means GCF of 132,688,658 as per the given fractions.

GCF of 132,688,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,537,506

LCM of Fractions 974/132,537/688,506/658 is 66164307

2 974, 537, 506
487, 537, 253

∴ So the LCM of the given numbers is 2 x 487 x 537 x 253 = 132328614

Least Common Multiple of 974,537,506 with GCF Formula

Least Common Multiple of 974,537,506 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 974,537,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,537,506) = 1

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

GCF(974,537,506) x common factors =1 x 2 = 2

LCM(974,537,506) = ( 974 × 537 × 506 ) / 2

LCM(974,537,506) = 264657228 / 2

LCM(974,537,506) = 132328614


Lets's calculate GCF of 132,688,658

2 132, 688, 658
66, 344, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132328614/2

Therefore the LCM of Fractions 974/132,537/688,506/658 is 66164307

Greatest Common Factor of 132,688,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,688,658 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 132,688,658 . The biggest common factor number is the GCF number.
So the greatest common factor 132,688,658 is 2.


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 974/132, 537/688, 506/658

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 974/132, 537/688, 506/658?

Answer: LCM of Numerators as per given numbers 974/132, 537/688, 506/658 is

LCM of Numerators i.e. for 974,537,506 is 132328614

GCF of denominators i.e. for 132,688,658 is 2.

Thus, LCM of Fractions is 66164307.Finally, LCM of Fractions for 974/132, 537/688, 506/658 is 66164307.