Least Common Multiple of 5552/350, 4794/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5552/350, 4794/219 quickly i.e. 13308144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5552/350, 4794/219 is 13308144.

LCM(5552/350, 4794/219) = 13308144

LCM of 5552/350, 4794/219

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 5552/350,4794/219

Given numbers are 5552/350,4794/219

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 5552,4794

Least Common Multiple of Numerators i.e. LCM of 5552,4794 is 13308144.

GCF of Denominators means GCF of 350,219 as per the given fractions.

GCF of 350,219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5552,4794

LCM of Fractions 5552/350,4794/219 is 13308144

2 5552, 4794
2776, 2397

∴ So the LCM of the given numbers is 2 x 2776 x 2397 = 13308144

Least Common Multiple of 5552,4794 with GCF Formula

Least Common Multiple of 5552,4794 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 5552,4794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5552,4794) = 2

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

GCF(5552,4794) x common factors =2 x 1 = 2

LCM(5552,4794) = ( 5552 × 4794 ) / 2

LCM(5552,4794) = 26616288 / 2

LCM(5552,4794) = 13308144


Lets's calculate GCF of 350,219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13308144/1

Therefore the LCM of Fractions 5552/350,4794/219 is 13308144

Greatest Common Factor of 350,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,219 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 219

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

1,3,73,219

Greatest Common Factor

We found the factors 350,219 . The biggest common factor number is the GCF number.
So the greatest common factor 350,219 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5552/350, 4794/219

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 5552/350, 4794/219?

Answer: LCM of Numerators as per given numbers 5552/350, 4794/219 is

LCM of Numerators i.e. for 5552,4794 is 13308144

GCF of denominators i.e. for 350,219 is 1.

Thus, LCM of Fractions is 13308144.Finally, LCM of Fractions for 5552/350, 4794/219 is 13308144.