Least Common Multiple of 357/30, 279/1965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/30, 279/1965 quickly i.e. 33201/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/30, 279/1965 is 33201/15.

LCM(357/30, 279/1965) = 33201/15

LCM of 357/30, 279/1965

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 357/30,279/1965

Given numbers are 357/30,279/1965

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 357,279

Least Common Multiple of Numerators i.e. LCM of 357,279 is 33201.

GCF of Denominators means GCF of 30,1965 as per the given fractions.

GCF of 30,1965 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,279

LCM of Fractions 357/30,279/1965 is 33201/15

3 357, 279
119, 93

∴ So the LCM of the given numbers is 3 x 119 x 93 = 33201

Least Common Multiple of 357,279 with GCF Formula

Least Common Multiple of 357,279 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 357,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,279) = 3

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

GCF(357,279) x common factors =3 x 1 = 3

LCM(357,279) = ( 357 × 279 ) / 3

LCM(357,279) = 99603 / 3

LCM(357,279) = 33201


Lets's calculate GCF of 30,1965

3 30, 1965
5 10, 655
2, 131

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33201/15

Therefore the LCM of Fractions 357/30,279/1965 is 33201/15

Greatest Common Factor of 30,1965 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,1965 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 1965

List of positive integer factors of 1965 that divides 1965 without a remainder.

1,3,5,15,131,393,655,1965

Greatest Common Factor

We found the factors 30,1965 . The biggest common factor number is the GCF number.
So the greatest common factor 30,1965 is 15.


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 357/30, 279/1965

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 357/30, 279/1965?

Answer: LCM of Numerators as per given numbers 357/30, 279/1965 is

LCM of Numerators i.e. for 357,279 is 33201

GCF of denominators i.e. for 30,1965 is 15.

Thus, LCM of Fractions is 33201/15.Finally, LCM of Fractions for 357/30, 279/1965 is 33201/15.