Least Common Multiple of 1077/768, 6505/8719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1077/768, 6505/8719 quickly i.e. 7005885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1077/768, 6505/8719 is 7005885.

LCM(1077/768, 6505/8719) = 7005885

LCM of 1077/768, 6505/8719

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 1077/768,6505/8719

Given numbers are 1077/768,6505/8719

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 1077,6505

Least Common Multiple of Numerators i.e. LCM of 1077,6505 is 7005885.

GCF of Denominators means GCF of 768,8719 as per the given fractions.

GCF of 768,8719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1077,6505

LCM of Fractions 1077/768,6505/8719 is 7005885

Given numbers has no common factors except 1. So, there LCM is their product i.e 7005885

Least Common Multiple of 1077,6505 with GCF Formula

Least Common Multiple of 1077,6505 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 1077,6505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1077,6505) = 1

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

GCF(1077,6505) x common factors =1 x 1 = 1

LCM(1077,6505) = ( 1077 × 6505 ) / 1

LCM(1077,6505) = 7005885 / 1

LCM(1077,6505) = 7005885


Lets's calculate GCF of 768,8719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7005885/1

Therefore the LCM of Fractions 1077/768,6505/8719 is 7005885

Greatest Common Factor of 768,8719 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,8719 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 8719

List of positive integer factors of 8719 that divides 8719 without a remainder.

1,8719

Greatest Common Factor

We found the factors 768,8719 . The biggest common factor number is the GCF number.
So the greatest common factor 768,8719 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 1077/768, 6505/8719

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 1077/768, 6505/8719?

Answer: LCM of Numerators as per given numbers 1077/768, 6505/8719 is

LCM of Numerators i.e. for 1077,6505 is 7005885

GCF of denominators i.e. for 768,8719 is 1.

Thus, LCM of Fractions is 7005885.Finally, LCM of Fractions for 1077/768, 6505/8719 is 7005885.