Least Common Multiple of 913/58, 876/9834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 913/58, 876/9834 quickly i.e. 399894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 913/58, 876/9834 is 399894.

LCM(913/58, 876/9834) = 399894

LCM of 913/58, 876/9834

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 913/58,876/9834

Given numbers are 913/58,876/9834

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 913,876

Least Common Multiple of Numerators i.e. LCM of 913,876 is 799788.

GCF of Denominators means GCF of 58,9834 as per the given fractions.

GCF of 58,9834 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 913,876

LCM of Fractions 913/58,876/9834 is 399894

Given numbers has no common factors except 1. So, there LCM is their product i.e 799788

Least Common Multiple of 913,876 with GCF Formula

Least Common Multiple of 913,876 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 913,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,876) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(913,876) x common factors =1 x 1 = 1

LCM(913,876) = ( 913 × 876 ) / 1

LCM(913,876) = 799788 / 1

LCM(913,876) = 799788


Lets's calculate GCF of 58,9834

2 58, 9834
29, 4917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 799788/2

Therefore the LCM of Fractions 913/58,876/9834 is 399894

Greatest Common Factor of 58,9834 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,9834 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 9834

List of positive integer factors of 9834 that divides 9834 without a remainder.

1,2,3,6,11,22,33,66,149,298,447,894,1639,3278,4917,9834

Greatest Common Factor

We found the factors 58,9834 . The biggest common factor number is the GCF number.
So the greatest common factor 58,9834 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 913/58, 876/9834

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 913/58, 876/9834?

Answer: LCM of Numerators as per given numbers 913/58, 876/9834 is

LCM of Numerators i.e. for 913,876 is 799788

GCF of denominators i.e. for 58,9834 is 2.

Thus, LCM of Fractions is 399894.Finally, LCM of Fractions for 913/58, 876/9834 is 399894.