Least Common Multiple of 140/38, 234/65, 672/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/38, 234/65, 672/836 quickly i.e. 131040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/38, 234/65, 672/836 is 131040.

LCM(140/38, 234/65, 672/836) = 131040

LCM of 140/38, 234/65, 672/836

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 140/38,234/65,672/836

Given numbers are 140/38,234/65,672/836

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 140,234,672

Least Common Multiple of Numerators i.e. LCM of 140,234,672 is 131040.

GCF of Denominators means GCF of 38,65,836 as per the given fractions.

GCF of 38,65,836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,234,672

LCM of Fractions 140/38,234/65,672/836 is 131040

2 140, 234, 672
2 70, 117, 336
3 35, 117, 168
7 35, 39, 56
5, 39, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 5 x 39 x 8 = 131040

Least Common Multiple of 140,234,672 with GCF Formula

Least Common Multiple of 140,234,672 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 140,234,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,234,672) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(140,234,672) x common factors =2 x 84 = 168

LCM(140,234,672) = ( 140 × 234 × 672 ) / 168

LCM(140,234,672) = 22014720 / 168

LCM(140,234,672) = 131040


Lets's calculate GCF of 38,65,836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131040/1

Therefore the LCM of Fractions 140/38,234/65,672/836 is 131040

Greatest Common Factor of 38,65,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,65,836 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 38,65,836 . The biggest common factor number is the GCF number.
So the greatest common factor 38,65,836 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 140/38, 234/65, 672/836

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 140/38, 234/65, 672/836?

Answer: LCM of Numerators as per given numbers 140/38, 234/65, 672/836 is

LCM of Numerators i.e. for 140,234,672 is 131040

GCF of denominators i.e. for 38,65,836 is 1.

Thus, LCM of Fractions is 131040.Finally, LCM of Fractions for 140/38, 234/65, 672/836 is 131040.