Least Common Multiple of 1281/702, 8814/9971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1281/702, 8814/9971 quickly i.e. 289506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1281/702, 8814/9971 is 289506.

LCM(1281/702, 8814/9971) = 289506

LCM of 1281/702, 8814/9971

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 1281/702,8814/9971

Given numbers are 1281/702,8814/9971

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 1281,8814

Least Common Multiple of Numerators i.e. LCM of 1281,8814 is 3763578.

GCF of Denominators means GCF of 702,9971 as per the given fractions.

GCF of 702,9971 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1281,8814

LCM of Fractions 1281/702,8814/9971 is 289506

3 1281, 8814
427, 2938

∴ So the LCM of the given numbers is 3 x 427 x 2938 = 3763578

Least Common Multiple of 1281,8814 with GCF Formula

Least Common Multiple of 1281,8814 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 1281,8814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1281,8814) = 3

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

GCF(1281,8814) x common factors =3 x 1 = 3

LCM(1281,8814) = ( 1281 × 8814 ) / 3

LCM(1281,8814) = 11290734 / 3

LCM(1281,8814) = 3763578


Lets's calculate GCF of 702,9971

13 702, 9971
54, 767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3763578/13

Therefore the LCM of Fractions 1281/702,8814/9971 is 289506

Greatest Common Factor of 702,9971 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,9971 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1,13,59,169,767,9971

Greatest Common Factor

We found the factors 702,9971 . The biggest common factor number is the GCF number.
So the greatest common factor 702,9971 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 1281/702, 8814/9971

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 1281/702, 8814/9971?

Answer: LCM of Numerators as per given numbers 1281/702, 8814/9971 is

LCM of Numerators i.e. for 1281,8814 is 3763578

GCF of denominators i.e. for 702,9971 is 13.

Thus, LCM of Fractions is 289506.Finally, LCM of Fractions for 1281/702, 8814/9971 is 289506.