Least Common Multiple of 35/212, 7961/2110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/212, 7961/2110 quickly i.e. 278635/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/212, 7961/2110 is 278635/2.

LCM(35/212, 7961/2110) = 278635/2

LCM of 35/212, 7961/2110

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 35/212,7961/2110

Given numbers are 35/212,7961/2110

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 35,7961

Least Common Multiple of Numerators i.e. LCM of 35,7961 is 278635.

GCF of Denominators means GCF of 212,2110 as per the given fractions.

GCF of 212,2110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,7961

LCM of Fractions 35/212,7961/2110 is 278635/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 278635

Least Common Multiple of 35,7961 with GCF Formula

Least Common Multiple of 35,7961 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 35,7961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,7961) = 1

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

GCF(35,7961) x common factors =1 x 1 = 1

LCM(35,7961) = ( 35 × 7961 ) / 1

LCM(35,7961) = 278635 / 1

LCM(35,7961) = 278635


Lets's calculate GCF of 212,2110

2 212, 2110
106, 1055

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278635/2

Therefore the LCM of Fractions 35/212,7961/2110 is 278635/2

Greatest Common Factor of 212,2110 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,2110 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 2110

List of positive integer factors of 2110 that divides 2110 without a remainder.

1,2,5,10,211,422,1055,2110

Greatest Common Factor

We found the factors 212,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 212,2110 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 35/212, 7961/2110

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 35/212, 7961/2110?

Answer: LCM of Numerators as per given numbers 35/212, 7961/2110 is

LCM of Numerators i.e. for 35,7961 is 278635

GCF of denominators i.e. for 212,2110 is 2.

Thus, LCM of Fractions is 278635/2.Finally, LCM of Fractions for 35/212, 7961/2110 is 278635/2.