Least Common Multiple of 73/687, 90/143, 946/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/687, 90/143, 946/373 quickly i.e. 3107610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/687, 90/143, 946/373 is 3107610.

LCM(73/687, 90/143, 946/373) = 3107610

LCM of 73/687, 90/143, 946/373

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 73/687,90/143,946/373

Given numbers are 73/687,90/143,946/373

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 73,90,946

Least Common Multiple of Numerators i.e. LCM of 73,90,946 is 3107610.

GCF of Denominators means GCF of 687,143,373 as per the given fractions.

GCF of 687,143,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,90,946

LCM of Fractions 73/687,90/143,946/373 is 3107610

2 73, 90, 946
73, 45, 473

∴ So the LCM of the given numbers is 2 x 73 x 45 x 473 = 3107610

Least Common Multiple of 73,90,946 with GCF Formula

Least Common Multiple of 73,90,946 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 73,90,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,90,946) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,90,946) x common factors =1 x 2 = 2

LCM(73,90,946) = ( 73 × 90 × 946 ) / 2

LCM(73,90,946) = 6215220 / 2

LCM(73,90,946) = 3107610


Lets's calculate GCF of 687,143,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3107610/1

Therefore the LCM of Fractions 73/687,90/143,946/373 is 3107610

Greatest Common Factor of 687,143,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,143,373 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 687,143,373 . The biggest common factor number is the GCF number.
So the greatest common factor 687,143,373 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 73/687, 90/143, 946/373

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 73/687, 90/143, 946/373?

Answer: LCM of Numerators as per given numbers 73/687, 90/143, 946/373 is

LCM of Numerators i.e. for 73,90,946 is 3107610

GCF of denominators i.e. for 687,143,373 is 1.

Thus, LCM of Fractions is 3107610.Finally, LCM of Fractions for 73/687, 90/143, 946/373 is 3107610.