Least Common Multiple of 4480/272, 5739/6216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4480/272, 5739/6216 quickly i.e. 3213840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4480/272, 5739/6216 is 3213840.

LCM(4480/272, 5739/6216) = 3213840

LCM of 4480/272, 5739/6216

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 4480/272,5739/6216

Given numbers are 4480/272,5739/6216

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 4480,5739

Least Common Multiple of Numerators i.e. LCM of 4480,5739 is 25710720.

GCF of Denominators means GCF of 272,6216 as per the given fractions.

GCF of 272,6216 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4480,5739

LCM of Fractions 4480/272,5739/6216 is 3213840

Given numbers has no common factors except 1. So, there LCM is their product i.e 25710720

Least Common Multiple of 4480,5739 with GCF Formula

Least Common Multiple of 4480,5739 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 4480,5739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4480,5739) = 1

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

GCF(4480,5739) x common factors =1 x 1 = 1

LCM(4480,5739) = ( 4480 × 5739 ) / 1

LCM(4480,5739) = 25710720 / 1

LCM(4480,5739) = 25710720


Lets's calculate GCF of 272,6216

2 272, 6216
2 136, 3108
2 68, 1554
34, 777

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25710720/8

Therefore the LCM of Fractions 4480/272,5739/6216 is 3213840

Greatest Common Factor of 272,6216 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,6216 By Matching Biggest Common Factor Method

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

Factors of 6216

List of positive integer factors of 6216 that divides 6216 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,37,42,56,74,84,111,148,168,222,259,296,444,518,777,888,1036,1554,2072,3108,6216

Greatest Common Factor

We found the factors 272,6216 . The biggest common factor number is the GCF number.
So the greatest common factor 272,6216 is 8.


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 4480/272, 5739/6216

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 4480/272, 5739/6216?

Answer: LCM of Numerators as per given numbers 4480/272, 5739/6216 is

LCM of Numerators i.e. for 4480,5739 is 25710720

GCF of denominators i.e. for 272,6216 is 8.

Thus, LCM of Fractions is 3213840.Finally, LCM of Fractions for 4480/272, 5739/6216 is 3213840.