Least Common Multiple of 160/520, 416/167, 110/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 160/520, 416/167, 110/926 quickly i.e. 22880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 160/520, 416/167, 110/926 is 22880.

LCM(160/520, 416/167, 110/926) = 22880

LCM of 160/520, 416/167, 110/926

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 160/520,416/167,110/926

Given numbers are 160/520,416/167,110/926

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 160,416,110

Least Common Multiple of Numerators i.e. LCM of 160,416,110 is 22880.

GCF of Denominators means GCF of 520,167,926 as per the given fractions.

GCF of 520,167,926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 160,416,110

LCM of Fractions 160/520,416/167,110/926 is 22880

2 160, 416, 110
2 80, 208, 55
2 40, 104, 55
2 20, 52, 55
2 10, 26, 55
5 5, 13, 55
1, 13, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 1 x 13 x 11 = 22880

Least Common Multiple of 160,416,110 with GCF Formula

Least Common Multiple of 160,416,110 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 160,416,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,416,110) = 2

common factors(in case of two or more numbers have common factors) = 160

GCF(160,416,110) x common factors =2 x 160 = 320

LCM(160,416,110) = ( 160 × 416 × 110 ) / 320

LCM(160,416,110) = 7321600 / 320

LCM(160,416,110) = 22880


Lets's calculate GCF of 520,167,926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22880/1

Therefore the LCM of Fractions 160/520,416/167,110/926 is 22880

Greatest Common Factor of 520,167,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,167,926 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 520,167,926 . The biggest common factor number is the GCF number.
So the greatest common factor 520,167,926 is 1.


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 160/520, 416/167, 110/926

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 160/520, 416/167, 110/926?

Answer: LCM of Numerators as per given numbers 160/520, 416/167, 110/926 is

LCM of Numerators i.e. for 160,416,110 is 22880

GCF of denominators i.e. for 520,167,926 is 1.

Thus, LCM of Fractions is 22880.Finally, LCM of Fractions for 160/520, 416/167, 110/926 is 22880.