Least Common Multiple of 248/829, 584/242, 167/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 248/829, 584/242, 167/870 quickly i.e. 3023368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 248/829, 584/242, 167/870 is 3023368.

LCM(248/829, 584/242, 167/870) = 3023368

LCM of 248/829, 584/242, 167/870

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 248/829,584/242,167/870

Given numbers are 248/829,584/242,167/870

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 248,584,167

Least Common Multiple of Numerators i.e. LCM of 248,584,167 is 3023368.

GCF of Denominators means GCF of 829,242,870 as per the given fractions.

GCF of 829,242,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 248,584,167

LCM of Fractions 248/829,584/242,167/870 is 3023368

2 248, 584, 167
2 124, 292, 167
2 62, 146, 167
31, 73, 167

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 73 x 167 = 3023368

Least Common Multiple of 248,584,167 with GCF Formula

Least Common Multiple of 248,584,167 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 248,584,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,584,167) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(248,584,167) x common factors =1 x 8 = 8

LCM(248,584,167) = ( 248 × 584 × 167 ) / 8

LCM(248,584,167) = 24186944 / 8

LCM(248,584,167) = 3023368


Lets's calculate GCF of 829,242,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3023368/1

Therefore the LCM of Fractions 248/829,584/242,167/870 is 3023368

Greatest Common Factor of 829,242,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,242,870 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 829,242,870 . The biggest common factor number is the GCF number.
So the greatest common factor 829,242,870 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 248/829, 584/242, 167/870

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 248/829, 584/242, 167/870?

Answer: LCM of Numerators as per given numbers 248/829, 584/242, 167/870 is

LCM of Numerators i.e. for 248,584,167 is 3023368

GCF of denominators i.e. for 829,242,870 is 1.

Thus, LCM of Fractions is 3023368.Finally, LCM of Fractions for 248/829, 584/242, 167/870 is 3023368.