Least Common Multiple of 544/50, 500/4765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/50, 500/4765 quickly i.e. 13600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/50, 500/4765 is 13600.

LCM(544/50, 500/4765) = 13600

LCM of 544/50, 500/4765

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 544/50,500/4765

Given numbers are 544/50,500/4765

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 544,500

Least Common Multiple of Numerators i.e. LCM of 544,500 is 68000.

GCF of Denominators means GCF of 50,4765 as per the given fractions.

GCF of 50,4765 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,500

LCM of Fractions 544/50,500/4765 is 13600

2 544, 500
2 272, 250
136, 125

∴ So the LCM of the given numbers is 2 x 2 x 136 x 125 = 68000

Least Common Multiple of 544,500 with GCF Formula

Least Common Multiple of 544,500 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 544,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,500) = 4

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

GCF(544,500) x common factors =4 x 1 = 4

LCM(544,500) = ( 544 × 500 ) / 4

LCM(544,500) = 272000 / 4

LCM(544,500) = 68000


Lets's calculate GCF of 50,4765

5 50, 4765
10, 953

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68000/5

Therefore the LCM of Fractions 544/50,500/4765 is 13600

Greatest Common Factor of 50,4765 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,4765 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 4765

List of positive integer factors of 4765 that divides 4765 without a remainder.

1,5,953,4765

Greatest Common Factor

We found the factors 50,4765 . The biggest common factor number is the GCF number.
So the greatest common factor 50,4765 is 5.


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 544/50, 500/4765

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 544/50, 500/4765?

Answer: LCM of Numerators as per given numbers 544/50, 500/4765 is

LCM of Numerators i.e. for 544,500 is 68000

GCF of denominators i.e. for 50,4765 is 5.

Thus, LCM of Fractions is 13600.Finally, LCM of Fractions for 544/50, 500/4765 is 13600.