Least Common Multiple of 22/160, 30/788, 158/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/160, 30/788, 158/530 quickly i.e. 13035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/160, 30/788, 158/530 is 13035.

LCM(22/160, 30/788, 158/530) = 13035

LCM of 22/160, 30/788, 158/530

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 22/160,30/788,158/530

Given numbers are 22/160,30/788,158/530

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 22,30,158

Least Common Multiple of Numerators i.e. LCM of 22,30,158 is 26070.

GCF of Denominators means GCF of 160,788,530 as per the given fractions.

GCF of 160,788,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,30,158

LCM of Fractions 22/160,30/788,158/530 is 13035

2 22, 30, 158
11, 15, 79

∴ So the LCM of the given numbers is 2 x 11 x 15 x 79 = 26070

Least Common Multiple of 22,30,158 with GCF Formula

Least Common Multiple of 22,30,158 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 22,30,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,30,158) = 2

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

GCF(22,30,158) x common factors =2 x 2 = 4

LCM(22,30,158) = ( 22 × 30 × 158 ) / 4

LCM(22,30,158) = 104280 / 4

LCM(22,30,158) = 26070


Lets's calculate GCF of 160,788,530

2 160, 788, 530
80, 394, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26070/2

Therefore the LCM of Fractions 22/160,30/788,158/530 is 13035

Greatest Common Factor of 160,788,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,788,530 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 160,788,530 . The biggest common factor number is the GCF number.
So the greatest common factor 160,788,530 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 22/160, 30/788, 158/530

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 22/160, 30/788, 158/530?

Answer: LCM of Numerators as per given numbers 22/160, 30/788, 158/530 is

LCM of Numerators i.e. for 22,30,158 is 26070

GCF of denominators i.e. for 160,788,530 is 2.

Thus, LCM of Fractions is 13035.Finally, LCM of Fractions for 22/160, 30/788, 158/530 is 13035.