Least Common Multiple of 270/620, 3357/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 270/620, 3357/212 quickly i.e. 100710/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/620, 3357/212 is 100710/4.

LCM(270/620, 3357/212) = 100710/4

LCM of 270/620, 3357/212

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 270/620,3357/212

Given numbers are 270/620,3357/212

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 270,3357

Least Common Multiple of Numerators i.e. LCM of 270,3357 is 100710.

GCF of Denominators means GCF of 620,212 as per the given fractions.

GCF of 620,212 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,3357

LCM of Fractions 270/620,3357/212 is 100710/4

3 270, 3357
3 90, 1119
30, 373

∴ So the LCM of the given numbers is 3 x 3 x 30 x 373 = 100710

Least Common Multiple of 270,3357 with GCF Formula

Least Common Multiple of 270,3357 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 270,3357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,3357) = 9

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

GCF(270,3357) x common factors =9 x 1 = 9

LCM(270,3357) = ( 270 × 3357 ) / 9

LCM(270,3357) = 906390 / 9

LCM(270,3357) = 100710


Lets's calculate GCF of 620,212

2 620, 212
2 310, 106
155, 53

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100710/4

Therefore the LCM of Fractions 270/620,3357/212 is 100710/4

Greatest Common Factor of 620,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,212 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 212

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

1,2,4,53,106,212

Greatest Common Factor

We found the factors 620,212 . The biggest common factor number is the GCF number.
So the greatest common factor 620,212 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 270/620, 3357/212

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 270/620, 3357/212?

Answer: LCM of Numerators as per given numbers 270/620, 3357/212 is

LCM of Numerators i.e. for 270,3357 is 100710

GCF of denominators i.e. for 620,212 is 4.

Thus, LCM of Fractions is 100710/4.Finally, LCM of Fractions for 270/620, 3357/212 is 100710/4.