Least Common Multiple of 732/91, 705/2212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 732/91, 705/2212 quickly i.e. 172020/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/91, 705/2212 is 172020/7.

LCM(732/91, 705/2212) = 172020/7

LCM of 732/91, 705/2212

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 732/91,705/2212

Given numbers are 732/91,705/2212

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 732,705

Least Common Multiple of Numerators i.e. LCM of 732,705 is 172020.

GCF of Denominators means GCF of 91,2212 as per the given fractions.

GCF of 91,2212 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,705

LCM of Fractions 732/91,705/2212 is 172020/7

3 732, 705
244, 235

∴ So the LCM of the given numbers is 3 x 244 x 235 = 172020

Least Common Multiple of 732,705 with GCF Formula

Least Common Multiple of 732,705 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 732,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,705) = 3

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

GCF(732,705) x common factors =3 x 1 = 3

LCM(732,705) = ( 732 × 705 ) / 3

LCM(732,705) = 516060 / 3

LCM(732,705) = 172020


Lets's calculate GCF of 91,2212

7 91, 2212
13, 316

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172020/7

Therefore the LCM of Fractions 732/91,705/2212 is 172020/7

Greatest Common Factor of 91,2212 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,2212 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 2212

List of positive integer factors of 2212 that divides 2212 without a remainder.

1,2,4,7,14,28,79,158,316,553,1106,2212

Greatest Common Factor

We found the factors 91,2212 . The biggest common factor number is the GCF number.
So the greatest common factor 91,2212 is 7.


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Frequently Asked Questions on Fractional LCM of 732/91, 705/2212

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 732/91, 705/2212?

Answer: LCM of Numerators as per given numbers 732/91, 705/2212 is

LCM of Numerators i.e. for 732,705 is 172020

GCF of denominators i.e. for 91,2212 is 7.

Thus, LCM of Fractions is 172020/7.Finally, LCM of Fractions for 732/91, 705/2212 is 172020/7.