Least Common Multiple of 90/266, 30/854, 220/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/266, 30/854, 220/136 quickly i.e. 990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/266, 30/854, 220/136 is 990.

LCM(90/266, 30/854, 220/136) = 990

LCM of 90/266, 30/854, 220/136

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 90/266,30/854,220/136

Given numbers are 90/266,30/854,220/136

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 90,30,220

Least Common Multiple of Numerators i.e. LCM of 90,30,220 is 1980.

GCF of Denominators means GCF of 266,854,136 as per the given fractions.

GCF of 266,854,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,30,220

LCM of Fractions 90/266,30/854,220/136 is 990

2 90, 30, 220
3 45, 15, 110
5 5, 15, 110
1, 3, 22

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 22 = 1980

Least Common Multiple of 90,30,220 with GCF Formula

Least Common Multiple of 90,30,220 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 90,30,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,30,220) = 10

common factors(in case of two or more numbers have common factors) = 30

GCF(90,30,220) x common factors =10 x 30 = 300

LCM(90,30,220) = ( 90 × 30 × 220 ) / 300

LCM(90,30,220) = 594000 / 300

LCM(90,30,220) = 1980


Lets's calculate GCF of 266,854,136

2 266, 854, 136
133, 427, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1980/2

Therefore the LCM of Fractions 90/266,30/854,220/136 is 990

Greatest Common Factor of 266,854,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,854,136 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 266,854,136 . The biggest common factor number is the GCF number.
So the greatest common factor 266,854,136 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 90/266, 30/854, 220/136

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 90/266, 30/854, 220/136?

Answer: LCM of Numerators as per given numbers 90/266, 30/854, 220/136 is

LCM of Numerators i.e. for 90,30,220 is 1980

GCF of denominators i.e. for 266,854,136 is 2.

Thus, LCM of Fractions is 990.Finally, LCM of Fractions for 90/266, 30/854, 220/136 is 990.