Least Common Multiple of 70/83, 76/13, 15/53, 42/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/83, 76/13, 15/53, 42/209 quickly i.e. 7980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/83, 76/13, 15/53, 42/209 is 7980.

LCM(70/83, 76/13, 15/53, 42/209) = 7980

LCM of 70/83, 76/13, 15/53, 42/209

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 70/83,76/13,15/53,42/209

Given numbers are 70/83,76/13,15/53,42/209

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 70,76,15,42

Least Common Multiple of Numerators i.e. LCM of 70,76,15,42 is 7980.

GCF of Denominators means GCF of 83,13,53,209 as per the given fractions.

GCF of 83,13,53,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,76,15,42

LCM of Fractions 70/83,76/13,15/53,42/209 is 7980

2 70, 76, 15, 42
3 35, 38, 15, 21
5 35, 38, 5, 7
7 7, 38, 1, 7
1, 38, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 38 x 1 x 1 = 7980

Least Common Multiple of 70,76,15,42 with GCF Formula

Least Common Multiple of 70,76,15,42 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 70,76,15,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,76,15,42) = 1

common factors(in case of two or more numbers have common factors) = 420

GCF(70,76,15,42) x common factors =1 x 420 = 420

LCM(70,76,15,42) = ( 70 × 76 × 15 × 42 ) / 420

LCM(70,76,15,42) = 3351600 / 420

LCM(70,76,15,42) = 7980


Lets's calculate GCF of 83,13,53,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7980/1

Therefore the LCM of Fractions 70/83,76/13,15/53,42/209 is 7980

Greatest Common Factor of 83,13,53,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,13,53,209 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

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 83,13,53,209 . The biggest common factor number is the GCF number.
So the greatest common factor 83,13,53,209 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 70/83, 76/13, 15/53, 42/209

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 70/83, 76/13, 15/53, 42/209?

Answer: LCM of Numerators as per given numbers 70/83, 76/13, 15/53, 42/209 is

LCM of Numerators i.e. for 70,76,15,42 is 7980

GCF of denominators i.e. for 83,13,53,209 is 1.

Thus, LCM of Fractions is 7980.Finally, LCM of Fractions for 70/83, 76/13, 15/53, 42/209 is 7980.