Least Common Multiple of 63/728, 91/402, 190/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/728, 91/402, 190/584 quickly i.e. 77805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/728, 91/402, 190/584 is 77805.

LCM(63/728, 91/402, 190/584) = 77805

LCM of 63/728, 91/402, 190/584

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 63/728,91/402,190/584

Given numbers are 63/728,91/402,190/584

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 63,91,190

Least Common Multiple of Numerators i.e. LCM of 63,91,190 is 155610.

GCF of Denominators means GCF of 728,402,584 as per the given fractions.

GCF of 728,402,584 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,91,190

LCM of Fractions 63/728,91/402,190/584 is 77805

7 63, 91, 190
9, 13, 190

∴ So the LCM of the given numbers is 7 x 9 x 13 x 190 = 155610

Least Common Multiple of 63,91,190 with GCF Formula

Least Common Multiple of 63,91,190 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 63,91,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,91,190) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(63,91,190) x common factors =1 x 7 = 7

LCM(63,91,190) = ( 63 × 91 × 190 ) / 7

LCM(63,91,190) = 1089270 / 7

LCM(63,91,190) = 155610


Lets's calculate GCF of 728,402,584

2 728, 402, 584
364, 201, 292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155610/2

Therefore the LCM of Fractions 63/728,91/402,190/584 is 77805

Greatest Common Factor of 728,402,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,402,584 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

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 728,402,584 . The biggest common factor number is the GCF number.
So the greatest common factor 728,402,584 is 2.


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 63/728, 91/402, 190/584

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 63/728, 91/402, 190/584?

Answer: LCM of Numerators as per given numbers 63/728, 91/402, 190/584 is

LCM of Numerators i.e. for 63,91,190 is 155610

GCF of denominators i.e. for 728,402,584 is 2.

Thus, LCM of Fractions is 77805.Finally, LCM of Fractions for 63/728, 91/402, 190/584 is 77805.