Least Common Multiple of 7582/828, 1340/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7582/828, 1340/584 quickly i.e. 1269985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7582/828, 1340/584 is 1269985.

LCM(7582/828, 1340/584) = 1269985

LCM of 7582/828, 1340/584

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 7582/828,1340/584

Given numbers are 7582/828,1340/584

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 7582,1340

Least Common Multiple of Numerators i.e. LCM of 7582,1340 is 5079940.

GCF of Denominators means GCF of 828,584 as per the given fractions.

GCF of 828,584 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7582,1340

LCM of Fractions 7582/828,1340/584 is 1269985

2 7582, 1340
3791, 670

∴ So the LCM of the given numbers is 2 x 3791 x 670 = 5079940

Least Common Multiple of 7582,1340 with GCF Formula

Least Common Multiple of 7582,1340 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 7582,1340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7582,1340) = 2

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

GCF(7582,1340) x common factors =2 x 1 = 2

LCM(7582,1340) = ( 7582 × 1340 ) / 2

LCM(7582,1340) = 10159880 / 2

LCM(7582,1340) = 5079940


Lets's calculate GCF of 828,584

2 828, 584
2 414, 292
207, 146

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5079940/4

Therefore the LCM of Fractions 7582/828,1340/584 is 1269985

Greatest Common Factor of 828,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,584 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 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 828,584 . The biggest common factor number is the GCF number.
So the greatest common factor 828,584 is 4.


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 7582/828, 1340/584

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 7582/828, 1340/584?

Answer: LCM of Numerators as per given numbers 7582/828, 1340/584 is

LCM of Numerators i.e. for 7582,1340 is 5079940

GCF of denominators i.e. for 828,584 is 4.

Thus, LCM of Fractions is 1269985.Finally, LCM of Fractions for 7582/828, 1340/584 is 1269985.