Least Common Multiple of 5775/945, 8470/4567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5775/945, 8470/4567 quickly i.e. 127050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5775/945, 8470/4567 is 127050.

LCM(5775/945, 8470/4567) = 127050

LCM of 5775/945, 8470/4567

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 5775/945,8470/4567

Given numbers are 5775/945,8470/4567

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 5775,8470

Least Common Multiple of Numerators i.e. LCM of 5775,8470 is 127050.

GCF of Denominators means GCF of 945,4567 as per the given fractions.

GCF of 945,4567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5775,8470

LCM of Fractions 5775/945,8470/4567 is 127050

5 5775, 8470
7 1155, 1694
11 165, 242
15, 22

∴ So the LCM of the given numbers is 5 x 7 x 11 x 15 x 22 = 127050

Least Common Multiple of 5775,8470 with GCF Formula

Least Common Multiple of 5775,8470 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 5775,8470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5775,8470) = 385

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

GCF(5775,8470) x common factors =385 x 1 = 385

LCM(5775,8470) = ( 5775 × 8470 ) / 385

LCM(5775,8470) = 48914250 / 385

LCM(5775,8470) = 127050


Lets's calculate GCF of 945,4567

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127050/1

Therefore the LCM of Fractions 5775/945,8470/4567 is 127050

Greatest Common Factor of 945,4567 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,4567 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1,4567

Greatest Common Factor

We found the factors 945,4567 . The biggest common factor number is the GCF number.
So the greatest common factor 945,4567 is 1.


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 5775/945, 8470/4567

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 5775/945, 8470/4567?

Answer: LCM of Numerators as per given numbers 5775/945, 8470/4567 is

LCM of Numerators i.e. for 5775,8470 is 127050

GCF of denominators i.e. for 945,4567 is 1.

Thus, LCM of Fractions is 127050.Finally, LCM of Fractions for 5775/945, 8470/4567 is 127050.