Least Common Multiple of 834/144, 552/766, 115/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 834/144, 552/766, 115/712 quickly i.e. 191820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/144, 552/766, 115/712 is 191820.

LCM(834/144, 552/766, 115/712) = 191820

LCM of 834/144, 552/766, 115/712

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 834/144,552/766,115/712

Given numbers are 834/144,552/766,115/712

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 834,552,115

Least Common Multiple of Numerators i.e. LCM of 834,552,115 is 383640.

GCF of Denominators means GCF of 144,766,712 as per the given fractions.

GCF of 144,766,712 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,552,115

LCM of Fractions 834/144,552/766,115/712 is 191820

2 834, 552, 115
3 417, 276, 115
23 139, 92, 115
139, 4, 5

∴ So the LCM of the given numbers is 2 x 3 x 23 x 139 x 4 x 5 = 383640

Least Common Multiple of 834,552,115 with GCF Formula

Least Common Multiple of 834,552,115 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 834,552,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,552,115) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(834,552,115) x common factors =1 x 138 = 138

LCM(834,552,115) = ( 834 × 552 × 115 ) / 138

LCM(834,552,115) = 52942320 / 138

LCM(834,552,115) = 383640


Lets's calculate GCF of 144,766,712

2 144, 766, 712
72, 383, 356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383640/2

Therefore the LCM of Fractions 834/144,552/766,115/712 is 191820

Greatest Common Factor of 144,766,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,766,712 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 144,766,712 . The biggest common factor number is the GCF number.
So the greatest common factor 144,766,712 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 834/144, 552/766, 115/712

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 834/144, 552/766, 115/712?

Answer: LCM of Numerators as per given numbers 834/144, 552/766, 115/712 is

LCM of Numerators i.e. for 834,552,115 is 383640

GCF of denominators i.e. for 144,766,712 is 2.

Thus, LCM of Fractions is 191820.Finally, LCM of Fractions for 834/144, 552/766, 115/712 is 191820.