Least Common Multiple of 544/483, 215/575, 307/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/483, 215/575, 307/840 quickly i.e. 35906720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/483, 215/575, 307/840 is 35906720.

LCM(544/483, 215/575, 307/840) = 35906720

LCM of 544/483, 215/575, 307/840

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 544/483,215/575,307/840

Given numbers are 544/483,215/575,307/840

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 544,215,307

Least Common Multiple of Numerators i.e. LCM of 544,215,307 is 35906720.

GCF of Denominators means GCF of 483,575,840 as per the given fractions.

GCF of 483,575,840 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,215,307

LCM of Fractions 544/483,215/575,307/840 is 35906720

Given numbers has no common factors except 1. So, there LCM is their product i.e 35906720

Least Common Multiple of 544,215,307 with GCF Formula

Least Common Multiple of 544,215,307 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 544,215,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,215,307) = 1

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

GCF(544,215,307) x common factors =1 x 1 = 1

LCM(544,215,307) = ( 544 × 215 × 307 ) / 1

LCM(544,215,307) = 35906720 / 1

LCM(544,215,307) = 35906720


Lets's calculate GCF of 483,575,840

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35906720/1

Therefore the LCM of Fractions 544/483,215/575,307/840 is 35906720

Greatest Common Factor of 483,575,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,575,840 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 483,575,840 . The biggest common factor number is the GCF number.
So the greatest common factor 483,575,840 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 544/483, 215/575, 307/840

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 544/483, 215/575, 307/840?

Answer: LCM of Numerators as per given numbers 544/483, 215/575, 307/840 is

LCM of Numerators i.e. for 544,215,307 is 35906720

GCF of denominators i.e. for 483,575,840 is 1.

Thus, LCM of Fractions is 35906720.Finally, LCM of Fractions for 544/483, 215/575, 307/840 is 35906720.