Least Common Multiple of 949/15, 876/45, 159/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 949/15, 876/45, 159/703 quickly i.e. 603564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 949/15, 876/45, 159/703 is 603564.

LCM(949/15, 876/45, 159/703) = 603564

LCM of 949/15, 876/45, 159/703

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 949/15,876/45,159/703

Given numbers are 949/15,876/45,159/703

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 949,876,159

Least Common Multiple of Numerators i.e. LCM of 949,876,159 is 603564.

GCF of Denominators means GCF of 15,45,703 as per the given fractions.

GCF of 15,45,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 949,876,159

LCM of Fractions 949/15,876/45,159/703 is 603564

3 949, 876, 159
73 949, 292, 53
13, 4, 53

∴ So the LCM of the given numbers is 3 x 73 x 13 x 4 x 53 = 603564

Least Common Multiple of 949,876,159 with GCF Formula

Least Common Multiple of 949,876,159 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 949,876,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,876,159) = 1

common factors(in case of two or more numbers have common factors) = 219

GCF(949,876,159) x common factors =1 x 219 = 219

LCM(949,876,159) = ( 949 × 876 × 159 ) / 219

LCM(949,876,159) = 132180516 / 219

LCM(949,876,159) = 603564


Lets's calculate GCF of 15,45,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 603564/1

Therefore the LCM of Fractions 949/15,876/45,159/703 is 603564

Greatest Common Factor of 15,45,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,45,703 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 15,45,703 . The biggest common factor number is the GCF number.
So the greatest common factor 15,45,703 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 949/15, 876/45, 159/703

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 949/15, 876/45, 159/703?

Answer: LCM of Numerators as per given numbers 949/15, 876/45, 159/703 is

LCM of Numerators i.e. for 949,876,159 is 603564

GCF of denominators i.e. for 15,45,703 is 1.

Thus, LCM of Fractions is 603564.Finally, LCM of Fractions for 949/15, 876/45, 159/703 is 603564.