Least Common Multiple of 4007/219, 1229/5240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4007/219, 1229/5240 quickly i.e. 4924603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4007/219, 1229/5240 is 4924603.

LCM(4007/219, 1229/5240) = 4924603

LCM of 4007/219, 1229/5240

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 4007/219,1229/5240

Given numbers are 4007/219,1229/5240

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 4007,1229

Least Common Multiple of Numerators i.e. LCM of 4007,1229 is 4924603.

GCF of Denominators means GCF of 219,5240 as per the given fractions.

GCF of 219,5240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4007,1229

LCM of Fractions 4007/219,1229/5240 is 4924603

Given numbers has no common factors except 1. So, there LCM is their product i.e 4924603

Least Common Multiple of 4007,1229 with GCF Formula

Least Common Multiple of 4007,1229 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 4007,1229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4007,1229) = 1

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

GCF(4007,1229) x common factors =1 x 1 = 1

LCM(4007,1229) = ( 4007 × 1229 ) / 1

LCM(4007,1229) = 4924603 / 1

LCM(4007,1229) = 4924603


Lets's calculate GCF of 219,5240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4924603/1

Therefore the LCM of Fractions 4007/219,1229/5240 is 4924603

Greatest Common Factor of 219,5240 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,5240 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 5240

List of positive integer factors of 5240 that divides 5240 without a remainder.

1,2,4,5,8,10,20,40,131,262,524,655,1048,1310,2620,5240

Greatest Common Factor

We found the factors 219,5240 . The biggest common factor number is the GCF number.
So the greatest common factor 219,5240 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4007/219, 1229/5240

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 4007/219, 1229/5240?

Answer: LCM of Numerators as per given numbers 4007/219, 1229/5240 is

LCM of Numerators i.e. for 4007,1229 is 4924603

GCF of denominators i.e. for 219,5240 is 1.

Thus, LCM of Fractions is 4924603.Finally, LCM of Fractions for 4007/219, 1229/5240 is 4924603.