Least Common Multiple of 828/265, 280/823, 666/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/265, 280/823, 666/837 quickly i.e. 2144520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/265, 280/823, 666/837 is 2144520.

LCM(828/265, 280/823, 666/837) = 2144520

LCM of 828/265, 280/823, 666/837

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 828/265,280/823,666/837

Given numbers are 828/265,280/823,666/837

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 828,280,666

Least Common Multiple of Numerators i.e. LCM of 828,280,666 is 2144520.

GCF of Denominators means GCF of 265,823,837 as per the given fractions.

GCF of 265,823,837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,280,666

LCM of Fractions 828/265,280/823,666/837 is 2144520

2 828, 280, 666
2 414, 140, 333
3 207, 70, 333
3 69, 70, 111
23, 70, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 23 x 70 x 37 = 2144520

Least Common Multiple of 828,280,666 with GCF Formula

Least Common Multiple of 828,280,666 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 828,280,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,280,666) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(828,280,666) x common factors =2 x 36 = 72

LCM(828,280,666) = ( 828 × 280 × 666 ) / 72

LCM(828,280,666) = 154405440 / 72

LCM(828,280,666) = 2144520


Lets's calculate GCF of 265,823,837

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2144520/1

Therefore the LCM of Fractions 828/265,280/823,666/837 is 2144520

Greatest Common Factor of 265,823,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,823,837 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 265,823,837 . The biggest common factor number is the GCF number.
So the greatest common factor 265,823,837 is 1.


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 828/265, 280/823, 666/837

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 828/265, 280/823, 666/837?

Answer: LCM of Numerators as per given numbers 828/265, 280/823, 666/837 is

LCM of Numerators i.e. for 828,280,666 is 2144520

GCF of denominators i.e. for 265,823,837 is 1.

Thus, LCM of Fractions is 2144520.Finally, LCM of Fractions for 828/265, 280/823, 666/837 is 2144520.