Least Common Multiple of 5513/295, 1216/6119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5513/295, 1216/6119 quickly i.e. 6703808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5513/295, 1216/6119 is 6703808.

LCM(5513/295, 1216/6119) = 6703808

LCM of 5513/295, 1216/6119

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 5513/295,1216/6119

Given numbers are 5513/295,1216/6119

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 5513,1216

Least Common Multiple of Numerators i.e. LCM of 5513,1216 is 6703808.

GCF of Denominators means GCF of 295,6119 as per the given fractions.

GCF of 295,6119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5513,1216

LCM of Fractions 5513/295,1216/6119 is 6703808

Given numbers has no common factors except 1. So, there LCM is their product i.e 6703808

Least Common Multiple of 5513,1216 with GCF Formula

Least Common Multiple of 5513,1216 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 5513,1216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5513,1216) = 1

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

GCF(5513,1216) x common factors =1 x 1 = 1

LCM(5513,1216) = ( 5513 × 1216 ) / 1

LCM(5513,1216) = 6703808 / 1

LCM(5513,1216) = 6703808


Lets's calculate GCF of 295,6119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6703808/1

Therefore the LCM of Fractions 5513/295,1216/6119 is 6703808

Greatest Common Factor of 295,6119 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,6119 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 6119

List of positive integer factors of 6119 that divides 6119 without a remainder.

1,29,211,6119

Greatest Common Factor

We found the factors 295,6119 . The biggest common factor number is the GCF number.
So the greatest common factor 295,6119 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5513/295, 1216/6119

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 5513/295, 1216/6119?

Answer: LCM of Numerators as per given numbers 5513/295, 1216/6119 is

LCM of Numerators i.e. for 5513,1216 is 6703808

GCF of denominators i.e. for 295,6119 is 1.

Thus, LCM of Fractions is 6703808.Finally, LCM of Fractions for 5513/295, 1216/6119 is 6703808.