Least Common Multiple of 8511/788, 1218/1129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8511/788, 1218/1129 quickly i.e. 3455466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8511/788, 1218/1129 is 3455466.

LCM(8511/788, 1218/1129) = 3455466

LCM of 8511/788, 1218/1129

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 8511/788,1218/1129

Given numbers are 8511/788,1218/1129

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 8511,1218

Least Common Multiple of Numerators i.e. LCM of 8511,1218 is 3455466.

GCF of Denominators means GCF of 788,1129 as per the given fractions.

GCF of 788,1129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8511,1218

LCM of Fractions 8511/788,1218/1129 is 3455466

3 8511, 1218
2837, 406

∴ So the LCM of the given numbers is 3 x 2837 x 406 = 3455466

Least Common Multiple of 8511,1218 with GCF Formula

Least Common Multiple of 8511,1218 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 8511,1218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8511,1218) = 3

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

GCF(8511,1218) x common factors =3 x 1 = 3

LCM(8511,1218) = ( 8511 × 1218 ) / 3

LCM(8511,1218) = 10366398 / 3

LCM(8511,1218) = 3455466


Lets's calculate GCF of 788,1129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3455466/1

Therefore the LCM of Fractions 8511/788,1218/1129 is 3455466

Greatest Common Factor of 788,1129 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,1129 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 1129

List of positive integer factors of 1129 that divides 1129 without a remainder.

1,1129

Greatest Common Factor

We found the factors 788,1129 . The biggest common factor number is the GCF number.
So the greatest common factor 788,1129 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8511/788, 1218/1129

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 8511/788, 1218/1129?

Answer: LCM of Numerators as per given numbers 8511/788, 1218/1129 is

LCM of Numerators i.e. for 8511,1218 is 3455466

GCF of denominators i.e. for 788,1129 is 1.

Thus, LCM of Fractions is 3455466.Finally, LCM of Fractions for 8511/788, 1218/1129 is 3455466.