Least Common Multiple of 985/13, 504/7826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 985/13, 504/7826 quickly i.e. 496440/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 985/13, 504/7826 is 496440/13.

LCM(985/13, 504/7826) = 496440/13

LCM of 985/13, 504/7826

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 985/13,504/7826

Given numbers are 985/13,504/7826

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 985,504

Least Common Multiple of Numerators i.e. LCM of 985,504 is 496440.

GCF of Denominators means GCF of 13,7826 as per the given fractions.

GCF of 13,7826 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 985,504

LCM of Fractions 985/13,504/7826 is 496440/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 496440

Least Common Multiple of 985,504 with GCF Formula

Least Common Multiple of 985,504 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 985,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,504) = 1

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

GCF(985,504) x common factors =1 x 1 = 1

LCM(985,504) = ( 985 × 504 ) / 1

LCM(985,504) = 496440 / 1

LCM(985,504) = 496440


Lets's calculate GCF of 13,7826

13 13, 7826
1, 602

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496440/13

Therefore the LCM of Fractions 985/13,504/7826 is 496440/13

Greatest Common Factor of 13,7826 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,7826 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 7826

List of positive integer factors of 7826 that divides 7826 without a remainder.

1,2,7,13,14,26,43,86,91,182,301,559,602,1118,3913,7826

Greatest Common Factor

We found the factors 13,7826 . The biggest common factor number is the GCF number.
So the greatest common factor 13,7826 is 13.


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 985/13, 504/7826

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 985/13, 504/7826?

Answer: LCM of Numerators as per given numbers 985/13, 504/7826 is

LCM of Numerators i.e. for 985,504 is 496440

GCF of denominators i.e. for 13,7826 is 13.

Thus, LCM of Fractions is 496440/13.Finally, LCM of Fractions for 985/13, 504/7826 is 496440/13.