Least Common Multiple of 1067/510, 9977/8713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1067/510, 9977/8713 quickly i.e. 967769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1067/510, 9977/8713 is 967769.

LCM(1067/510, 9977/8713) = 967769

LCM of 1067/510, 9977/8713

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 1067/510,9977/8713

Given numbers are 1067/510,9977/8713

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 1067,9977

Least Common Multiple of Numerators i.e. LCM of 1067,9977 is 967769.

GCF of Denominators means GCF of 510,8713 as per the given fractions.

GCF of 510,8713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1067,9977

LCM of Fractions 1067/510,9977/8713 is 967769

11 1067, 9977
97, 907

∴ So the LCM of the given numbers is 11 x 97 x 907 = 967769

Least Common Multiple of 1067,9977 with GCF Formula

Least Common Multiple of 1067,9977 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 1067,9977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1067,9977) = 11

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

GCF(1067,9977) x common factors =11 x 1 = 11

LCM(1067,9977) = ( 1067 × 9977 ) / 11

LCM(1067,9977) = 10645459 / 11

LCM(1067,9977) = 967769


Lets's calculate GCF of 510,8713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 967769/1

Therefore the LCM of Fractions 1067/510,9977/8713 is 967769

Greatest Common Factor of 510,8713 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,8713 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 8713

List of positive integer factors of 8713 that divides 8713 without a remainder.

1,8713

Greatest Common Factor

We found the factors 510,8713 . The biggest common factor number is the GCF number.
So the greatest common factor 510,8713 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 1067/510, 9977/8713

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 1067/510, 9977/8713?

Answer: LCM of Numerators as per given numbers 1067/510, 9977/8713 is

LCM of Numerators i.e. for 1067,9977 is 967769

GCF of denominators i.e. for 510,8713 is 1.

Thus, LCM of Fractions is 967769.Finally, LCM of Fractions for 1067/510, 9977/8713 is 967769.