Least Common Multiple of 442/52, 860/14, 917/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 442/52, 860/14, 917/248 quickly i.e. 87142510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 442/52, 860/14, 917/248 is 87142510.

LCM(442/52, 860/14, 917/248) = 87142510

LCM of 442/52, 860/14, 917/248

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 442/52,860/14,917/248

Given numbers are 442/52,860/14,917/248

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 442,860,917

Least Common Multiple of Numerators i.e. LCM of 442,860,917 is 174285020.

GCF of Denominators means GCF of 52,14,248 as per the given fractions.

GCF of 52,14,248 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 442,860,917

LCM of Fractions 442/52,860/14,917/248 is 87142510

2 442, 860, 917
221, 430, 917

∴ So the LCM of the given numbers is 2 x 221 x 430 x 917 = 174285020

Least Common Multiple of 442,860,917 with GCF Formula

Least Common Multiple of 442,860,917 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 442,860,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,860,917) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(442,860,917) x common factors =1 x 2 = 2

LCM(442,860,917) = ( 442 × 860 × 917 ) / 2

LCM(442,860,917) = 348570040 / 2

LCM(442,860,917) = 174285020


Lets's calculate GCF of 52,14,248

2 52, 14, 248
26, 7, 124

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174285020/2

Therefore the LCM of Fractions 442/52,860/14,917/248 is 87142510

Greatest Common Factor of 52,14,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,14,248 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 52,14,248 . The biggest common factor number is the GCF number.
So the greatest common factor 52,14,248 is 2.


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 442/52, 860/14, 917/248

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 442/52, 860/14, 917/248?

Answer: LCM of Numerators as per given numbers 442/52, 860/14, 917/248 is

LCM of Numerators i.e. for 442,860,917 is 174285020

GCF of denominators i.e. for 52,14,248 is 2.

Thus, LCM of Fractions is 87142510.Finally, LCM of Fractions for 442/52, 860/14, 917/248 is 87142510.