Least Common Multiple of 23/210, 722/269, 979/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/210, 722/269, 979/428 quickly i.e. 16257274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/210, 722/269, 979/428 is 16257274.

LCM(23/210, 722/269, 979/428) = 16257274

LCM of 23/210, 722/269, 979/428

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 23/210,722/269,979/428

Given numbers are 23/210,722/269,979/428

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 23,722,979

Least Common Multiple of Numerators i.e. LCM of 23,722,979 is 16257274.

GCF of Denominators means GCF of 210,269,428 as per the given fractions.

GCF of 210,269,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,722,979

LCM of Fractions 23/210,722/269,979/428 is 16257274

Given numbers has no common factors except 1. So, there LCM is their product i.e 16257274

Least Common Multiple of 23,722,979 with GCF Formula

Least Common Multiple of 23,722,979 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 23,722,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,722,979) = 1

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

GCF(23,722,979) x common factors =1 x 1 = 1

LCM(23,722,979) = ( 23 × 722 × 979 ) / 1

LCM(23,722,979) = 16257274 / 1

LCM(23,722,979) = 16257274


Lets's calculate GCF of 210,269,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16257274/1

Therefore the LCM of Fractions 23/210,722/269,979/428 is 16257274

Greatest Common Factor of 210,269,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,269,428 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 210,269,428 . The biggest common factor number is the GCF number.
So the greatest common factor 210,269,428 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 23/210, 722/269, 979/428

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 23/210, 722/269, 979/428?

Answer: LCM of Numerators as per given numbers 23/210, 722/269, 979/428 is

LCM of Numerators i.e. for 23,722,979 is 16257274

GCF of denominators i.e. for 210,269,428 is 1.

Thus, LCM of Fractions is 16257274.Finally, LCM of Fractions for 23/210, 722/269, 979/428 is 16257274.