Least Common Multiple of 221/90, 979/71, 670/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 221/90, 979/71, 670/338 quickly i.e. 144960530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/90, 979/71, 670/338 is 144960530.

LCM(221/90, 979/71, 670/338) = 144960530

LCM of 221/90, 979/71, 670/338

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 221/90,979/71,670/338

Given numbers are 221/90,979/71,670/338

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 221,979,670

Least Common Multiple of Numerators i.e. LCM of 221,979,670 is 144960530.

GCF of Denominators means GCF of 90,71,338 as per the given fractions.

GCF of 90,71,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,979,670

LCM of Fractions 221/90,979/71,670/338 is 144960530

Given numbers has no common factors except 1. So, there LCM is their product i.e 144960530

Least Common Multiple of 221,979,670 with GCF Formula

Least Common Multiple of 221,979,670 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 221,979,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,979,670) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(221,979,670) x common factors =1 x 1 = 1

LCM(221,979,670) = ( 221 × 979 × 670 ) / 1

LCM(221,979,670) = 144960530 / 1

LCM(221,979,670) = 144960530


Lets's calculate GCF of 90,71,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144960530/1

Therefore the LCM of Fractions 221/90,979/71,670/338 is 144960530

Greatest Common Factor of 90,71,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,71,338 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 90,71,338 . The biggest common factor number is the GCF number.
So the greatest common factor 90,71,338 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 221/90, 979/71, 670/338

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 221/90, 979/71, 670/338?

Answer: LCM of Numerators as per given numbers 221/90, 979/71, 670/338 is

LCM of Numerators i.e. for 221,979,670 is 144960530

GCF of denominators i.e. for 90,71,338 is 1.

Thus, LCM of Fractions is 144960530.Finally, LCM of Fractions for 221/90, 979/71, 670/338 is 144960530.