Least Common Multiple of 476/20, 168/58, 880/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/20, 168/58, 880/146 quickly i.e. 157080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/20, 168/58, 880/146 is 157080.

LCM(476/20, 168/58, 880/146) = 157080

LCM of 476/20, 168/58, 880/146

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 476/20,168/58,880/146

Given numbers are 476/20,168/58,880/146

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 476,168,880

Least Common Multiple of Numerators i.e. LCM of 476,168,880 is 314160.

GCF of Denominators means GCF of 20,58,146 as per the given fractions.

GCF of 20,58,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,168,880

LCM of Fractions 476/20,168/58,880/146 is 157080

2 476, 168, 880
2 238, 84, 440
2 119, 42, 220
7 119, 21, 110
17, 3, 110

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 17 x 3 x 110 = 314160

Least Common Multiple of 476,168,880 with GCF Formula

Least Common Multiple of 476,168,880 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 476,168,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,168,880) = 4

common factors(in case of two or more numbers have common factors) = 56

GCF(476,168,880) x common factors =4 x 56 = 224

LCM(476,168,880) = ( 476 × 168 × 880 ) / 224

LCM(476,168,880) = 70371840 / 224

LCM(476,168,880) = 314160


Lets's calculate GCF of 20,58,146

2 20, 58, 146
10, 29, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314160/2

Therefore the LCM of Fractions 476/20,168/58,880/146 is 157080

Greatest Common Factor of 20,58,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,58,146 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 20,58,146 . The biggest common factor number is the GCF number.
So the greatest common factor 20,58,146 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 476/20, 168/58, 880/146

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 476/20, 168/58, 880/146?

Answer: LCM of Numerators as per given numbers 476/20, 168/58, 880/146 is

LCM of Numerators i.e. for 476,168,880 is 314160

GCF of denominators i.e. for 20,58,146 is 2.

Thus, LCM of Fractions is 157080.Finally, LCM of Fractions for 476/20, 168/58, 880/146 is 157080.