Least Common Multiple of 4932/219, 7105/5616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4932/219, 7105/5616 quickly i.e. 11680620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4932/219, 7105/5616 is 11680620.

LCM(4932/219, 7105/5616) = 11680620

LCM of 4932/219, 7105/5616

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 4932/219,7105/5616

Given numbers are 4932/219,7105/5616

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 4932,7105

Least Common Multiple of Numerators i.e. LCM of 4932,7105 is 35041860.

GCF of Denominators means GCF of 219,5616 as per the given fractions.

GCF of 219,5616 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4932,7105

LCM of Fractions 4932/219,7105/5616 is 11680620

Given numbers has no common factors except 1. So, there LCM is their product i.e 35041860

Least Common Multiple of 4932,7105 with GCF Formula

Least Common Multiple of 4932,7105 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 4932,7105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4932,7105) = 1

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

GCF(4932,7105) x common factors =1 x 1 = 1

LCM(4932,7105) = ( 4932 × 7105 ) / 1

LCM(4932,7105) = 35041860 / 1

LCM(4932,7105) = 35041860


Lets's calculate GCF of 219,5616

3 219, 5616
73, 1872

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35041860/3

Therefore the LCM of Fractions 4932/219,7105/5616 is 11680620

Greatest Common Factor of 219,5616 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,5616 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616

Greatest Common Factor

We found the factors 219,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 219,5616 is 3.


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 4932/219, 7105/5616

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 4932/219, 7105/5616?

Answer: LCM of Numerators as per given numbers 4932/219, 7105/5616 is

LCM of Numerators i.e. for 4932,7105 is 35041860

GCF of denominators i.e. for 219,5616 is 3.

Thus, LCM of Fractions is 11680620.Finally, LCM of Fractions for 4932/219, 7105/5616 is 11680620.