Least Common Multiple of 72/276, 470/827, 223/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/276, 470/827, 223/842 quickly i.e. 3773160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/276, 470/827, 223/842 is 3773160.

LCM(72/276, 470/827, 223/842) = 3773160

LCM of 72/276, 470/827, 223/842

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 72/276,470/827,223/842

Given numbers are 72/276,470/827,223/842

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 72,470,223

Least Common Multiple of Numerators i.e. LCM of 72,470,223 is 3773160.

GCF of Denominators means GCF of 276,827,842 as per the given fractions.

GCF of 276,827,842 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,470,223

LCM of Fractions 72/276,470/827,223/842 is 3773160

2 72, 470, 223
36, 235, 223

∴ So the LCM of the given numbers is 2 x 36 x 235 x 223 = 3773160

Least Common Multiple of 72,470,223 with GCF Formula

Least Common Multiple of 72,470,223 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 72,470,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,470,223) = 1

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

GCF(72,470,223) x common factors =1 x 2 = 2

LCM(72,470,223) = ( 72 × 470 × 223 ) / 2

LCM(72,470,223) = 7546320 / 2

LCM(72,470,223) = 3773160


Lets's calculate GCF of 276,827,842

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3773160/1

Therefore the LCM of Fractions 72/276,470/827,223/842 is 3773160

Greatest Common Factor of 276,827,842 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,827,842 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Greatest Common Factor

We found the factors 276,827,842 . The biggest common factor number is the GCF number.
So the greatest common factor 276,827,842 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 72/276, 470/827, 223/842

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 72/276, 470/827, 223/842?

Answer: LCM of Numerators as per given numbers 72/276, 470/827, 223/842 is

LCM of Numerators i.e. for 72,470,223 is 3773160

GCF of denominators i.e. for 276,827,842 is 1.

Thus, LCM of Fractions is 3773160.Finally, LCM of Fractions for 72/276, 470/827, 223/842 is 3773160.