Least Common Multiple of 156/586, 750/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/586, 750/375 quickly i.e. 19500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/586, 750/375 is 19500.

LCM(156/586, 750/375) = 19500

LCM of 156/586, 750/375

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 156/586,750/375

Given numbers are 156/586,750/375

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 156,750

Least Common Multiple of Numerators i.e. LCM of 156,750 is 19500.

GCF of Denominators means GCF of 586,375 as per the given fractions.

GCF of 586,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,750

LCM of Fractions 156/586,750/375 is 19500

2 156, 750
3 78, 375
26, 125

∴ So the LCM of the given numbers is 2 x 3 x 26 x 125 = 19500

Least Common Multiple of 156,750 with GCF Formula

Least Common Multiple of 156,750 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 156,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,750) = 6

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

GCF(156,750) x common factors =6 x 1 = 6

LCM(156,750) = ( 156 × 750 ) / 6

LCM(156,750) = 117000 / 6

LCM(156,750) = 19500


Lets's calculate GCF of 586,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19500/1

Therefore the LCM of Fractions 156/586,750/375 is 19500

Greatest Common Factor of 586,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,375 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 586,375 . The biggest common factor number is the GCF number.
So the greatest common factor 586,375 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 156/586, 750/375

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 156/586, 750/375?

Answer: LCM of Numerators as per given numbers 156/586, 750/375 is

LCM of Numerators i.e. for 156,750 is 19500

GCF of denominators i.e. for 586,375 is 1.

Thus, LCM of Fractions is 19500.Finally, LCM of Fractions for 156/586, 750/375 is 19500.