Least Common Multiple of 2680/782, 9288/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2680/782, 9288/650 quickly i.e. 1555740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2680/782, 9288/650 is 1555740.

LCM(2680/782, 9288/650) = 1555740

LCM of 2680/782, 9288/650

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 2680/782,9288/650

Given numbers are 2680/782,9288/650

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 2680,9288

Least Common Multiple of Numerators i.e. LCM of 2680,9288 is 3111480.

GCF of Denominators means GCF of 782,650 as per the given fractions.

GCF of 782,650 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2680,9288

LCM of Fractions 2680/782,9288/650 is 1555740

2 2680, 9288
2 1340, 4644
2 670, 2322
335, 1161

∴ So the LCM of the given numbers is 2 x 2 x 2 x 335 x 1161 = 3111480

Least Common Multiple of 2680,9288 with GCF Formula

Least Common Multiple of 2680,9288 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 2680,9288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2680,9288) = 8

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

GCF(2680,9288) x common factors =8 x 1 = 8

LCM(2680,9288) = ( 2680 × 9288 ) / 8

LCM(2680,9288) = 24891840 / 8

LCM(2680,9288) = 3111480


Lets's calculate GCF of 782,650

2 782, 650
391, 325

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3111480/2

Therefore the LCM of Fractions 2680/782,9288/650 is 1555740

Greatest Common Factor of 782,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,650 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 782,650 . The biggest common factor number is the GCF number.
So the greatest common factor 782,650 is 2.


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 2680/782, 9288/650

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 2680/782, 9288/650?

Answer: LCM of Numerators as per given numbers 2680/782, 9288/650 is

LCM of Numerators i.e. for 2680,9288 is 3111480

GCF of denominators i.e. for 782,650 is 2.

Thus, LCM of Fractions is 1555740.Finally, LCM of Fractions for 2680/782, 9288/650 is 1555740.