Least Common Multiple of 40/601, 621/604, 778/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/601, 621/604, 778/987 quickly i.e. 9662760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/601, 621/604, 778/987 is 9662760.

LCM(40/601, 621/604, 778/987) = 9662760

LCM of 40/601, 621/604, 778/987

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 40/601,621/604,778/987

Given numbers are 40/601,621/604,778/987

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 40,621,778

Least Common Multiple of Numerators i.e. LCM of 40,621,778 is 9662760.

GCF of Denominators means GCF of 601,604,987 as per the given fractions.

GCF of 601,604,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,621,778

LCM of Fractions 40/601,621/604,778/987 is 9662760

2 40, 621, 778
20, 621, 389

∴ So the LCM of the given numbers is 2 x 20 x 621 x 389 = 9662760

Least Common Multiple of 40,621,778 with GCF Formula

Least Common Multiple of 40,621,778 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 40,621,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,621,778) = 1

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

GCF(40,621,778) x common factors =1 x 2 = 2

LCM(40,621,778) = ( 40 × 621 × 778 ) / 2

LCM(40,621,778) = 19325520 / 2

LCM(40,621,778) = 9662760


Lets's calculate GCF of 601,604,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9662760/1

Therefore the LCM of Fractions 40/601,621/604,778/987 is 9662760

Greatest Common Factor of 601,604,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,604,987 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 601,604,987 . The biggest common factor number is the GCF number.
So the greatest common factor 601,604,987 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 40/601, 621/604, 778/987

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 40/601, 621/604, 778/987?

Answer: LCM of Numerators as per given numbers 40/601, 621/604, 778/987 is

LCM of Numerators i.e. for 40,621,778 is 9662760

GCF of denominators i.e. for 601,604,987 is 1.

Thus, LCM of Fractions is 9662760.Finally, LCM of Fractions for 40/601, 621/604, 778/987 is 9662760.