Least Common Multiple of 4875/765, 8165/8420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4875/765, 8165/8420 quickly i.e. 1592175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4875/765, 8165/8420 is 1592175.

LCM(4875/765, 8165/8420) = 1592175

LCM of 4875/765, 8165/8420

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 4875/765,8165/8420

Given numbers are 4875/765,8165/8420

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 4875,8165

Least Common Multiple of Numerators i.e. LCM of 4875,8165 is 7960875.

GCF of Denominators means GCF of 765,8420 as per the given fractions.

GCF of 765,8420 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4875,8165

LCM of Fractions 4875/765,8165/8420 is 1592175

5 4875, 8165
975, 1633

∴ So the LCM of the given numbers is 5 x 975 x 1633 = 7960875

Least Common Multiple of 4875,8165 with GCF Formula

Least Common Multiple of 4875,8165 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 4875,8165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4875,8165) = 5

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

GCF(4875,8165) x common factors =5 x 1 = 5

LCM(4875,8165) = ( 4875 × 8165 ) / 5

LCM(4875,8165) = 39804375 / 5

LCM(4875,8165) = 7960875


Lets's calculate GCF of 765,8420

5 765, 8420
153, 1684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7960875/5

Therefore the LCM of Fractions 4875/765,8165/8420 is 1592175

Greatest Common Factor of 765,8420 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,8420 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1,2,4,5,10,20,421,842,1684,2105,4210,8420

Greatest Common Factor

We found the factors 765,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 765,8420 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 4875/765, 8165/8420

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 4875/765, 8165/8420?

Answer: LCM of Numerators as per given numbers 4875/765, 8165/8420 is

LCM of Numerators i.e. for 4875,8165 is 7960875

GCF of denominators i.e. for 765,8420 is 5.

Thus, LCM of Fractions is 1592175.Finally, LCM of Fractions for 4875/765, 8165/8420 is 1592175.