Least Common Multiple of 5836/380, 9516/5624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5836/380, 9516/5624 quickly i.e. 13883844/76 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5836/380, 9516/5624 is 13883844/76.

LCM(5836/380, 9516/5624) = 13883844/76

LCM of 5836/380, 9516/5624

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 5836/380,9516/5624

Given numbers are 5836/380,9516/5624

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 5836,9516

Least Common Multiple of Numerators i.e. LCM of 5836,9516 is 13883844.

GCF of Denominators means GCF of 380,5624 as per the given fractions.

GCF of 380,5624 is 76 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5836,9516

LCM of Fractions 5836/380,9516/5624 is 13883844/76

2 5836, 9516
2 2918, 4758
1459, 2379

∴ So the LCM of the given numbers is 2 x 2 x 1459 x 2379 = 13883844

Least Common Multiple of 5836,9516 with GCF Formula

Least Common Multiple of 5836,9516 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 5836,9516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5836,9516) = 4

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

GCF(5836,9516) x common factors =4 x 1 = 4

LCM(5836,9516) = ( 5836 × 9516 ) / 4

LCM(5836,9516) = 55535376 / 4

LCM(5836,9516) = 13883844


Lets's calculate GCF of 380,5624

2 380, 5624
2 190, 2812
19 95, 1406
5, 74

∴ So the GCF of the given numbers is 2 x 2 x 19 = 76

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13883844/76

Therefore the LCM of Fractions 5836/380,9516/5624 is 13883844/76

Greatest Common Factor of 380,5624 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,5624 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 5624

List of positive integer factors of 5624 that divides 5624 without a remainder.

1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624

Greatest Common Factor

We found the factors 380,5624 . The biggest common factor number is the GCF number.
So the greatest common factor 380,5624 is 76.


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 5836/380, 9516/5624

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 5836/380, 9516/5624?

Answer: LCM of Numerators as per given numbers 5836/380, 9516/5624 is

LCM of Numerators i.e. for 5836,9516 is 13883844

GCF of denominators i.e. for 380,5624 is 76.

Thus, LCM of Fractions is 13883844/76.Finally, LCM of Fractions for 5836/380, 9516/5624 is 13883844/76.