Least Common Multiple of 873/23, 948/55, 571/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/23, 948/55, 571/114 quickly i.e. 157520628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/23, 948/55, 571/114 is 157520628.

LCM(873/23, 948/55, 571/114) = 157520628

LCM of 873/23, 948/55, 571/114

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 873/23,948/55,571/114

Given numbers are 873/23,948/55,571/114

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 873,948,571

Least Common Multiple of Numerators i.e. LCM of 873,948,571 is 157520628.

GCF of Denominators means GCF of 23,55,114 as per the given fractions.

GCF of 23,55,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,948,571

LCM of Fractions 873/23,948/55,571/114 is 157520628

3 873, 948, 571
291, 316, 571

∴ So the LCM of the given numbers is 3 x 291 x 316 x 571 = 157520628

Least Common Multiple of 873,948,571 with GCF Formula

Least Common Multiple of 873,948,571 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 873,948,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,948,571) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(873,948,571) x common factors =1 x 3 = 3

LCM(873,948,571) = ( 873 × 948 × 571 ) / 3

LCM(873,948,571) = 472561884 / 3

LCM(873,948,571) = 157520628


Lets's calculate GCF of 23,55,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157520628/1

Therefore the LCM of Fractions 873/23,948/55,571/114 is 157520628

Greatest Common Factor of 23,55,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,55,114 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 23,55,114 . The biggest common factor number is the GCF number.
So the greatest common factor 23,55,114 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 873/23, 948/55, 571/114

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 873/23, 948/55, 571/114?

Answer: LCM of Numerators as per given numbers 873/23, 948/55, 571/114 is

LCM of Numerators i.e. for 873,948,571 is 157520628

GCF of denominators i.e. for 23,55,114 is 1.

Thus, LCM of Fractions is 157520628.Finally, LCM of Fractions for 873/23, 948/55, 571/114 is 157520628.