Least Common Multiple of 762/584, 9580/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 762/584, 9580/396 quickly i.e. 912495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/584, 9580/396 is 912495.

LCM(762/584, 9580/396) = 912495

LCM of 762/584, 9580/396

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 762/584,9580/396

Given numbers are 762/584,9580/396

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 762,9580

Least Common Multiple of Numerators i.e. LCM of 762,9580 is 3649980.

GCF of Denominators means GCF of 584,396 as per the given fractions.

GCF of 584,396 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,9580

LCM of Fractions 762/584,9580/396 is 912495

2 762, 9580
381, 4790

∴ So the LCM of the given numbers is 2 x 381 x 4790 = 3649980

Least Common Multiple of 762,9580 with GCF Formula

Least Common Multiple of 762,9580 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 762,9580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,9580) = 2

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

GCF(762,9580) x common factors =2 x 1 = 2

LCM(762,9580) = ( 762 × 9580 ) / 2

LCM(762,9580) = 7299960 / 2

LCM(762,9580) = 3649980


Lets's calculate GCF of 584,396

2 584, 396
2 292, 198
146, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3649980/4

Therefore the LCM of Fractions 762/584,9580/396 is 912495

Greatest Common Factor of 584,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,396 By Matching Biggest Common Factor Method

Factors of 584

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

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

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 584,396 . The biggest common factor number is the GCF number.
So the greatest common factor 584,396 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 762/584, 9580/396

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 762/584, 9580/396?

Answer: LCM of Numerators as per given numbers 762/584, 9580/396 is

LCM of Numerators i.e. for 762,9580 is 3649980

GCF of denominators i.e. for 584,396 is 4.

Thus, LCM of Fractions is 912495.Finally, LCM of Fractions for 762/584, 9580/396 is 912495.