Least Common Multiple of 3/31, 7/97, 35/79, 78/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/31, 7/97, 35/79, 78/209 quickly i.e. 2730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/31, 7/97, 35/79, 78/209 is 2730.

LCM(3/31, 7/97, 35/79, 78/209) = 2730

LCM of 3/31, 7/97, 35/79, 78/209

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 3/31,7/97,35/79,78/209

Given numbers are 3/31,7/97,35/79,78/209

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 3,7,35,78

Least Common Multiple of Numerators i.e. LCM of 3,7,35,78 is 2730.

GCF of Denominators means GCF of 31,97,79,209 as per the given fractions.

GCF of 31,97,79,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,7,35,78

LCM of Fractions 3/31,7/97,35/79,78/209 is 2730

3 3, 7, 35, 78
7 1, 7, 35, 26
1, 1, 5, 26

∴ So the LCM of the given numbers is 3 x 7 x 1 x 1 x 5 x 26 = 2730

Least Common Multiple of 3,7,35,78 with GCF Formula

Least Common Multiple of 3,7,35,78 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 3,7,35,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,7,35,78) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(3,7,35,78) x common factors =1 x 21 = 21

LCM(3,7,35,78) = ( 3 × 7 × 35 × 78 ) / 21

LCM(3,7,35,78) = 57330 / 21

LCM(3,7,35,78) = 2730


Lets's calculate GCF of 31,97,79,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2730/1

Therefore the LCM of Fractions 3/31,7/97,35/79,78/209 is 2730

Greatest Common Factor of 31,97,79,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,97,79,209 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 31,97,79,209 . The biggest common factor number is the GCF number.
So the greatest common factor 31,97,79,209 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 3/31, 7/97, 35/79, 78/209

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 3/31, 7/97, 35/79, 78/209?

Answer: LCM of Numerators as per given numbers 3/31, 7/97, 35/79, 78/209 is

LCM of Numerators i.e. for 3,7,35,78 is 2730

GCF of denominators i.e. for 31,97,79,209 is 1.

Thus, LCM of Fractions is 2730.Finally, LCM of Fractions for 3/31, 7/97, 35/79, 78/209 is 2730.