Least Common Multiple of 140/275, 2960/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/275, 2960/164 quickly i.e. 20720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/275, 2960/164 is 20720.

LCM(140/275, 2960/164) = 20720

LCM of 140/275, 2960/164

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 140/275,2960/164

Given numbers are 140/275,2960/164

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 140,2960

Least Common Multiple of Numerators i.e. LCM of 140,2960 is 20720.

GCF of Denominators means GCF of 275,164 as per the given fractions.

GCF of 275,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,2960

LCM of Fractions 140/275,2960/164 is 20720

2 140, 2960
2 70, 1480
5 35, 740
7, 148

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 148 = 20720

Least Common Multiple of 140,2960 with GCF Formula

Least Common Multiple of 140,2960 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 140,2960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,2960) = 20

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

GCF(140,2960) x common factors =20 x 1 = 20

LCM(140,2960) = ( 140 × 2960 ) / 20

LCM(140,2960) = 414400 / 20

LCM(140,2960) = 20720


Lets's calculate GCF of 275,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20720/1

Therefore the LCM of Fractions 140/275,2960/164 is 20720

Greatest Common Factor of 275,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,164 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 275,164 . The biggest common factor number is the GCF number.
So the greatest common factor 275,164 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 140/275, 2960/164

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 140/275, 2960/164?

Answer: LCM of Numerators as per given numbers 140/275, 2960/164 is

LCM of Numerators i.e. for 140,2960 is 20720

GCF of denominators i.e. for 275,164 is 1.

Thus, LCM of Fractions is 20720.Finally, LCM of Fractions for 140/275, 2960/164 is 20720.