Least Common Multiple of 834/37, 496/59, 558/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 834/37, 496/59, 558/780 quickly i.e. 620496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/37, 496/59, 558/780 is 620496.

LCM(834/37, 496/59, 558/780) = 620496

LCM of 834/37, 496/59, 558/780

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 834/37,496/59,558/780

Given numbers are 834/37,496/59,558/780

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 834,496,558

Least Common Multiple of Numerators i.e. LCM of 834,496,558 is 620496.

GCF of Denominators means GCF of 37,59,780 as per the given fractions.

GCF of 37,59,780 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,496,558

LCM of Fractions 834/37,496/59,558/780 is 620496

2 834, 496, 558
3 417, 248, 279
31 139, 248, 93
139, 8, 3

∴ So the LCM of the given numbers is 2 x 3 x 31 x 139 x 8 x 3 = 620496

Least Common Multiple of 834,496,558 with GCF Formula

Least Common Multiple of 834,496,558 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 834,496,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,496,558) = 2

common factors(in case of two or more numbers have common factors) = 186

GCF(834,496,558) x common factors =2 x 186 = 372

LCM(834,496,558) = ( 834 × 496 × 558 ) / 372

LCM(834,496,558) = 230824512 / 372

LCM(834,496,558) = 620496


Lets's calculate GCF of 37,59,780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 620496/1

Therefore the LCM of Fractions 834/37,496/59,558/780 is 620496

Greatest Common Factor of 37,59,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,59,780 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 37,59,780 . The biggest common factor number is the GCF number.
So the greatest common factor 37,59,780 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 834/37, 496/59, 558/780

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 834/37, 496/59, 558/780?

Answer: LCM of Numerators as per given numbers 834/37, 496/59, 558/780 is

LCM of Numerators i.e. for 834,496,558 is 620496

GCF of denominators i.e. for 37,59,780 is 1.

Thus, LCM of Fractions is 620496.Finally, LCM of Fractions for 834/37, 496/59, 558/780 is 620496.