Least Common Multiple of 658/48, 992/71, 123/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 658/48, 992/71, 123/661 quickly i.e. 40143264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/48, 992/71, 123/661 is 40143264.

LCM(658/48, 992/71, 123/661) = 40143264

LCM of 658/48, 992/71, 123/661

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 658/48,992/71,123/661

Given numbers are 658/48,992/71,123/661

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 658,992,123

Least Common Multiple of Numerators i.e. LCM of 658,992,123 is 40143264.

GCF of Denominators means GCF of 48,71,661 as per the given fractions.

GCF of 48,71,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,992,123

LCM of Fractions 658/48,992/71,123/661 is 40143264

2 658, 992, 123
329, 496, 123

∴ So the LCM of the given numbers is 2 x 329 x 496 x 123 = 40143264

Least Common Multiple of 658,992,123 with GCF Formula

Least Common Multiple of 658,992,123 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 658,992,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,992,123) = 1

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

GCF(658,992,123) x common factors =1 x 2 = 2

LCM(658,992,123) = ( 658 × 992 × 123 ) / 2

LCM(658,992,123) = 80286528 / 2

LCM(658,992,123) = 40143264


Lets's calculate GCF of 48,71,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40143264/1

Therefore the LCM of Fractions 658/48,992/71,123/661 is 40143264

Greatest Common Factor of 48,71,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,71,661 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 48,71,661 . The biggest common factor number is the GCF number.
So the greatest common factor 48,71,661 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 658/48, 992/71, 123/661

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 658/48, 992/71, 123/661?

Answer: LCM of Numerators as per given numbers 658/48, 992/71, 123/661 is

LCM of Numerators i.e. for 658,992,123 is 40143264

GCF of denominators i.e. for 48,71,661 is 1.

Thus, LCM of Fractions is 40143264.Finally, LCM of Fractions for 658/48, 992/71, 123/661 is 40143264.