Least Common Multiple of 153/310, 8658/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 153/310, 8658/279 quickly i.e. 147186/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 153/310, 8658/279 is 147186/31.

LCM(153/310, 8658/279) = 147186/31

LCM of 153/310, 8658/279

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 153/310,8658/279

Given numbers are 153/310,8658/279

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 153,8658

Least Common Multiple of Numerators i.e. LCM of 153,8658 is 147186.

GCF of Denominators means GCF of 310,279 as per the given fractions.

GCF of 310,279 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 153,8658

LCM of Fractions 153/310,8658/279 is 147186/31

3 153, 8658
3 51, 2886
17, 962

∴ So the LCM of the given numbers is 3 x 3 x 17 x 962 = 147186

Least Common Multiple of 153,8658 with GCF Formula

Least Common Multiple of 153,8658 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 153,8658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,8658) = 9

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

GCF(153,8658) x common factors =9 x 1 = 9

LCM(153,8658) = ( 153 × 8658 ) / 9

LCM(153,8658) = 1324674 / 9

LCM(153,8658) = 147186


Lets's calculate GCF of 310,279

31 310, 279
10, 9

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147186/31

Therefore the LCM of Fractions 153/310,8658/279 is 147186/31

Greatest Common Factor of 310,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,279 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 310,279 . The biggest common factor number is the GCF number.
So the greatest common factor 310,279 is 31.


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 153/310, 8658/279

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 153/310, 8658/279?

Answer: LCM of Numerators as per given numbers 153/310, 8658/279 is

LCM of Numerators i.e. for 153,8658 is 147186

GCF of denominators i.e. for 310,279 is 31.

Thus, LCM of Fractions is 147186/31.Finally, LCM of Fractions for 153/310, 8658/279 is 147186/31.