Least Common Multiple of 650/828, 2512/8740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 650/828, 2512/8740 quickly i.e. 816400/92 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 650/828, 2512/8740 is 816400/92.

LCM(650/828, 2512/8740) = 816400/92

LCM of 650/828, 2512/8740

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 650/828,2512/8740

Given numbers are 650/828,2512/8740

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 650,2512

Least Common Multiple of Numerators i.e. LCM of 650,2512 is 816400.

GCF of Denominators means GCF of 828,8740 as per the given fractions.

GCF of 828,8740 is 92 as it is the largest common factor for these numbers.

Lets's calculate LCM of 650,2512

LCM of Fractions 650/828,2512/8740 is 816400/92

2 650, 2512
325, 1256

∴ So the LCM of the given numbers is 2 x 325 x 1256 = 816400

Least Common Multiple of 650,2512 with GCF Formula

Least Common Multiple of 650,2512 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 650,2512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,2512) = 2

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

GCF(650,2512) x common factors =2 x 1 = 2

LCM(650,2512) = ( 650 × 2512 ) / 2

LCM(650,2512) = 1632800 / 2

LCM(650,2512) = 816400


Lets's calculate GCF of 828,8740

2 828, 8740
2 414, 4370
23 207, 2185
9, 95

∴ So the GCF of the given numbers is 2 x 2 x 23 = 92

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816400/92

Therefore the LCM of Fractions 650/828,2512/8740 is 816400/92

Greatest Common Factor of 828,8740 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,8740 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740

Greatest Common Factor

We found the factors 828,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 828,8740 is 92.


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 650/828, 2512/8740

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 650/828, 2512/8740?

Answer: LCM of Numerators as per given numbers 650/828, 2512/8740 is

LCM of Numerators i.e. for 650,2512 is 816400

GCF of denominators i.e. for 828,8740 is 92.

Thus, LCM of Fractions is 816400/92.Finally, LCM of Fractions for 650/828, 2512/8740 is 816400/92.