Least Common Multiple of 95/552, 5000/3565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/552, 5000/3565 quickly i.e. 95000/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/552, 5000/3565 is 95000/23.

LCM(95/552, 5000/3565) = 95000/23

LCM of 95/552, 5000/3565

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 95/552,5000/3565

Given numbers are 95/552,5000/3565

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 95,5000

Least Common Multiple of Numerators i.e. LCM of 95,5000 is 95000.

GCF of Denominators means GCF of 552,3565 as per the given fractions.

GCF of 552,3565 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,5000

LCM of Fractions 95/552,5000/3565 is 95000/23

5 95, 5000
19, 1000

∴ So the LCM of the given numbers is 5 x 19 x 1000 = 95000

Least Common Multiple of 95,5000 with GCF Formula

Least Common Multiple of 95,5000 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 95,5000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,5000) = 5

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

GCF(95,5000) x common factors =5 x 1 = 5

LCM(95,5000) = ( 95 × 5000 ) / 5

LCM(95,5000) = 475000 / 5

LCM(95,5000) = 95000


Lets's calculate GCF of 552,3565

23 552, 3565
24, 155

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95000/23

Therefore the LCM of Fractions 95/552,5000/3565 is 95000/23

Greatest Common Factor of 552,3565 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,3565 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 3565

List of positive integer factors of 3565 that divides 3565 without a remainder.

1,5,23,31,115,155,713,3565

Greatest Common Factor

We found the factors 552,3565 . The biggest common factor number is the GCF number.
So the greatest common factor 552,3565 is 23.


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 95/552, 5000/3565

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 95/552, 5000/3565?

Answer: LCM of Numerators as per given numbers 95/552, 5000/3565 is

LCM of Numerators i.e. for 95,5000 is 95000

GCF of denominators i.e. for 552,3565 is 23.

Thus, LCM of Fractions is 95000/23.Finally, LCM of Fractions for 95/552, 5000/3565 is 95000/23.