Least Common Multiple of 827/28, 282/90, 332/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/28, 282/90, 332/776 quickly i.e. 19356762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/28, 282/90, 332/776 is 19356762.

LCM(827/28, 282/90, 332/776) = 19356762

LCM of 827/28, 282/90, 332/776

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 827/28,282/90,332/776

Given numbers are 827/28,282/90,332/776

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 827,282,332

Least Common Multiple of Numerators i.e. LCM of 827,282,332 is 38713524.

GCF of Denominators means GCF of 28,90,776 as per the given fractions.

GCF of 28,90,776 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,282,332

LCM of Fractions 827/28,282/90,332/776 is 19356762

2 827, 282, 332
827, 141, 166

∴ So the LCM of the given numbers is 2 x 827 x 141 x 166 = 38713524

Least Common Multiple of 827,282,332 with GCF Formula

Least Common Multiple of 827,282,332 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 827,282,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,282,332) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(827,282,332) x common factors =1 x 2 = 2

LCM(827,282,332) = ( 827 × 282 × 332 ) / 2

LCM(827,282,332) = 77427048 / 2

LCM(827,282,332) = 38713524


Lets's calculate GCF of 28,90,776

2 28, 90, 776
14, 45, 388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38713524/2

Therefore the LCM of Fractions 827/28,282/90,332/776 is 19356762

Greatest Common Factor of 28,90,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,90,776 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 28,90,776 . The biggest common factor number is the GCF number.
So the greatest common factor 28,90,776 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 827/28, 282/90, 332/776

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 827/28, 282/90, 332/776?

Answer: LCM of Numerators as per given numbers 827/28, 282/90, 332/776 is

LCM of Numerators i.e. for 827,282,332 is 38713524

GCF of denominators i.e. for 28,90,776 is 2.

Thus, LCM of Fractions is 19356762.Finally, LCM of Fractions for 827/28, 282/90, 332/776 is 19356762.