Least Common Multiple of 760/387, 504/156, 833/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/387, 504/156, 833/133 quickly i.e. 5697720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/387, 504/156, 833/133 is 5697720.

LCM(760/387, 504/156, 833/133) = 5697720

LCM of 760/387, 504/156, 833/133

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 760/387,504/156,833/133

Given numbers are 760/387,504/156,833/133

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 760,504,833

Least Common Multiple of Numerators i.e. LCM of 760,504,833 is 5697720.

GCF of Denominators means GCF of 387,156,133 as per the given fractions.

GCF of 387,156,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,504,833

LCM of Fractions 760/387,504/156,833/133 is 5697720

2 760, 504, 833
2 380, 252, 833
2 190, 126, 833
7 95, 63, 833
95, 9, 119

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 95 x 9 x 119 = 5697720

Least Common Multiple of 760,504,833 with GCF Formula

Least Common Multiple of 760,504,833 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 760,504,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,504,833) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(760,504,833) x common factors =1 x 56 = 56

LCM(760,504,833) = ( 760 × 504 × 833 ) / 56

LCM(760,504,833) = 319072320 / 56

LCM(760,504,833) = 5697720


Lets's calculate GCF of 387,156,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5697720/1

Therefore the LCM of Fractions 760/387,504/156,833/133 is 5697720

Greatest Common Factor of 387,156,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,156,133 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 387,156,133 . The biggest common factor number is the GCF number.
So the greatest common factor 387,156,133 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 760/387, 504/156, 833/133

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 760/387, 504/156, 833/133?

Answer: LCM of Numerators as per given numbers 760/387, 504/156, 833/133 is

LCM of Numerators i.e. for 760,504,833 is 5697720

GCF of denominators i.e. for 387,156,133 is 1.

Thus, LCM of Fractions is 5697720.Finally, LCM of Fractions for 760/387, 504/156, 833/133 is 5697720.