Least Common Multiple of 70/58, 13/706, 157/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/58, 13/706, 157/233 quickly i.e. 142870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/58, 13/706, 157/233 is 142870.

LCM(70/58, 13/706, 157/233) = 142870

LCM of 70/58, 13/706, 157/233

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 70/58,13/706,157/233

Given numbers are 70/58,13/706,157/233

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 70,13,157

Least Common Multiple of Numerators i.e. LCM of 70,13,157 is 142870.

GCF of Denominators means GCF of 58,706,233 as per the given fractions.

GCF of 58,706,233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,13,157

LCM of Fractions 70/58,13/706,157/233 is 142870

Given numbers has no common factors except 1. So, there LCM is their product i.e 142870

Least Common Multiple of 70,13,157 with GCF Formula

Least Common Multiple of 70,13,157 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 70,13,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,13,157) = 1

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

GCF(70,13,157) x common factors =1 x 1 = 1

LCM(70,13,157) = ( 70 × 13 × 157 ) / 1

LCM(70,13,157) = 142870 / 1

LCM(70,13,157) = 142870


Lets's calculate GCF of 58,706,233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142870/1

Therefore the LCM of Fractions 70/58,13/706,157/233 is 142870

Greatest Common Factor of 58,706,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,706,233 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 58,706,233 . The biggest common factor number is the GCF number.
So the greatest common factor 58,706,233 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/58, 13/706, 157/233

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 70/58, 13/706, 157/233?

Answer: LCM of Numerators as per given numbers 70/58, 13/706, 157/233 is

LCM of Numerators i.e. for 70,13,157 is 142870

GCF of denominators i.e. for 58,706,233 is 1.

Thus, LCM of Fractions is 142870.Finally, LCM of Fractions for 70/58, 13/706, 157/233 is 142870.