Least Common Multiple of 140/206, 272/376, 343/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/206, 272/376, 343/156 quickly i.e. 233240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/206, 272/376, 343/156 is 233240.

LCM(140/206, 272/376, 343/156) = 233240

LCM of 140/206, 272/376, 343/156

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 140/206,272/376,343/156

Given numbers are 140/206,272/376,343/156

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 140,272,343

Least Common Multiple of Numerators i.e. LCM of 140,272,343 is 466480.

GCF of Denominators means GCF of 206,376,156 as per the given fractions.

GCF of 206,376,156 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,272,343

LCM of Fractions 140/206,272/376,343/156 is 233240

2 140, 272, 343
2 70, 136, 343
7 35, 68, 343
5, 68, 49

∴ So the LCM of the given numbers is 2 x 2 x 7 x 5 x 68 x 49 = 466480

Least Common Multiple of 140,272,343 with GCF Formula

Least Common Multiple of 140,272,343 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 140,272,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,272,343) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(140,272,343) x common factors =1 x 28 = 28

LCM(140,272,343) = ( 140 × 272 × 343 ) / 28

LCM(140,272,343) = 13061440 / 28

LCM(140,272,343) = 466480


Lets's calculate GCF of 206,376,156

2 206, 376, 156
103, 188, 78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 466480/2

Therefore the LCM of Fractions 140/206,272/376,343/156 is 233240

Greatest Common Factor of 206,376,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,376,156 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 206,376,156 . The biggest common factor number is the GCF number.
So the greatest common factor 206,376,156 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 140/206, 272/376, 343/156

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 140/206, 272/376, 343/156?

Answer: LCM of Numerators as per given numbers 140/206, 272/376, 343/156 is

LCM of Numerators i.e. for 140,272,343 is 466480

GCF of denominators i.e. for 206,376,156 is 2.

Thus, LCM of Fractions is 233240.Finally, LCM of Fractions for 140/206, 272/376, 343/156 is 233240.