Least Common Multiple of 340/224, 137/714, 269/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/224, 137/714, 269/397 quickly i.e. 12530020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/224, 137/714, 269/397 is 12530020.

LCM(340/224, 137/714, 269/397) = 12530020

LCM of 340/224, 137/714, 269/397

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 340/224,137/714,269/397

Given numbers are 340/224,137/714,269/397

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 340,137,269

Least Common Multiple of Numerators i.e. LCM of 340,137,269 is 12530020.

GCF of Denominators means GCF of 224,714,397 as per the given fractions.

GCF of 224,714,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,137,269

LCM of Fractions 340/224,137/714,269/397 is 12530020

Given numbers has no common factors except 1. So, there LCM is their product i.e 12530020

Least Common Multiple of 340,137,269 with GCF Formula

Least Common Multiple of 340,137,269 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 340,137,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,137,269) = 1

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

GCF(340,137,269) x common factors =1 x 1 = 1

LCM(340,137,269) = ( 340 × 137 × 269 ) / 1

LCM(340,137,269) = 12530020 / 1

LCM(340,137,269) = 12530020


Lets's calculate GCF of 224,714,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12530020/1

Therefore the LCM of Fractions 340/224,137/714,269/397 is 12530020

Greatest Common Factor of 224,714,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,714,397 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 224,714,397 . The biggest common factor number is the GCF number.
So the greatest common factor 224,714,397 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 340/224, 137/714, 269/397

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 340/224, 137/714, 269/397?

Answer: LCM of Numerators as per given numbers 340/224, 137/714, 269/397 is

LCM of Numerators i.e. for 340,137,269 is 12530020

GCF of denominators i.e. for 224,714,397 is 1.

Thus, LCM of Fractions is 12530020.Finally, LCM of Fractions for 340/224, 137/714, 269/397 is 12530020.