Least Common Multiple of 72/276, 35/361, 853/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/276, 35/361, 853/262 quickly i.e. 2149560 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, 35/361, 853/262 is 2149560.

LCM(72/276, 35/361, 853/262) = 2149560

LCM of 72/276, 35/361, 853/262

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 72/276,35/361,853/262

Given numbers are 72/276,35/361,853/262

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 72,35,853

Least Common Multiple of Numerators i.e. LCM of 72,35,853 is 2149560.

GCF of Denominators means GCF of 276,361,262 as per the given fractions.

GCF of 276,361,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,35,853

LCM of Fractions 72/276,35/361,853/262 is 2149560

Given numbers has no common factors except 1. So, there LCM is their product i.e 2149560

Least Common Multiple of 72,35,853 with GCF Formula

Least Common Multiple of 72,35,853 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 72,35,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,35,853) = 1

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

GCF(72,35,853) x common factors =1 x 1 = 1

LCM(72,35,853) = ( 72 × 35 × 853 ) / 1

LCM(72,35,853) = 2149560 / 1

LCM(72,35,853) = 2149560


Lets's calculate GCF of 276,361,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2149560/1

Therefore the LCM of Fractions 72/276,35/361,853/262 is 2149560

Greatest Common Factor of 276,361,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,361,262 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 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 276,361,262 . The biggest common factor number is the GCF number.
So the greatest common factor 276,361,262 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, 35/361, 853/262

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, 35/361, 853/262?

Answer: LCM of Numerators as per given numbers 72/276, 35/361, 853/262 is

LCM of Numerators i.e. for 72,35,853 is 2149560

GCF of denominators i.e. for 276,361,262 is 1.

Thus, LCM of Fractions is 2149560.Finally, LCM of Fractions for 72/276, 35/361, 853/262 is 2149560.