Least Common Multiple of 275/816, 5680/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/816, 5680/272 quickly i.e. 312400/272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/816, 5680/272 is 312400/272.

LCM(275/816, 5680/272) = 312400/272

LCM of 275/816, 5680/272

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 275/816,5680/272

Given numbers are 275/816,5680/272

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 275,5680

Least Common Multiple of Numerators i.e. LCM of 275,5680 is 312400.

GCF of Denominators means GCF of 816,272 as per the given fractions.

GCF of 816,272 is 272 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,5680

LCM of Fractions 275/816,5680/272 is 312400/272

5 275, 5680
55, 1136

∴ So the LCM of the given numbers is 5 x 55 x 1136 = 312400

Least Common Multiple of 275,5680 with GCF Formula

Least Common Multiple of 275,5680 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 275,5680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,5680) = 5

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

GCF(275,5680) x common factors =5 x 1 = 5

LCM(275,5680) = ( 275 × 5680 ) / 5

LCM(275,5680) = 1562000 / 5

LCM(275,5680) = 312400


Lets's calculate GCF of 816,272

2 816, 272
2 408, 136
2 204, 68
2 102, 34
17 51, 17
3, 1

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 17 = 272

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312400/272

Therefore the LCM of Fractions 275/816,5680/272 is 312400/272

Greatest Common Factor of 816,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,272 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 816,272 . The biggest common factor number is the GCF number.
So the greatest common factor 816,272 is 272.


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 275/816, 5680/272

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 275/816, 5680/272?

Answer: LCM of Numerators as per given numbers 275/816, 5680/272 is

LCM of Numerators i.e. for 275,5680 is 312400

GCF of denominators i.e. for 816,272 is 272.

Thus, LCM of Fractions is 312400/272.Finally, LCM of Fractions for 275/816, 5680/272 is 312400/272.