Least Common Multiple of 179/65, 476/52, 952/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 179/65, 476/52, 952/322 quickly i.e. 170408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 179/65, 476/52, 952/322 is 170408.

LCM(179/65, 476/52, 952/322) = 170408

LCM of 179/65, 476/52, 952/322

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 179/65,476/52,952/322

Given numbers are 179/65,476/52,952/322

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 179,476,952

Least Common Multiple of Numerators i.e. LCM of 179,476,952 is 170408.

GCF of Denominators means GCF of 65,52,322 as per the given fractions.

GCF of 65,52,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 179,476,952

LCM of Fractions 179/65,476/52,952/322 is 170408

2 179, 476, 952
2 179, 238, 476
7 179, 119, 238
17 179, 17, 34
179, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 179 x 1 x 2 = 170408

Least Common Multiple of 179,476,952 with GCF Formula

Least Common Multiple of 179,476,952 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 179,476,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,476,952) = 1

common factors(in case of two or more numbers have common factors) = 476

GCF(179,476,952) x common factors =1 x 476 = 476

LCM(179,476,952) = ( 179 × 476 × 952 ) / 476

LCM(179,476,952) = 81114208 / 476

LCM(179,476,952) = 170408


Lets's calculate GCF of 65,52,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170408/1

Therefore the LCM of Fractions 179/65,476/52,952/322 is 170408

Greatest Common Factor of 65,52,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,52,322 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 65,52,322 . The biggest common factor number is the GCF number.
So the greatest common factor 65,52,322 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 179/65, 476/52, 952/322

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 179/65, 476/52, 952/322?

Answer: LCM of Numerators as per given numbers 179/65, 476/52, 952/322 is

LCM of Numerators i.e. for 179,476,952 is 170408

GCF of denominators i.e. for 65,52,322 is 1.

Thus, LCM of Fractions is 170408.Finally, LCM of Fractions for 179/65, 476/52, 952/322 is 170408.