Least Common Multiple of 40/788, 83/600, 987/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/788, 83/600, 987/608 quickly i.e. 819210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/788, 83/600, 987/608 is 819210.

LCM(40/788, 83/600, 987/608) = 819210

LCM of 40/788, 83/600, 987/608

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 40/788,83/600,987/608

Given numbers are 40/788,83/600,987/608

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 40,83,987

Least Common Multiple of Numerators i.e. LCM of 40,83,987 is 3276840.

GCF of Denominators means GCF of 788,600,608 as per the given fractions.

GCF of 788,600,608 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,83,987

LCM of Fractions 40/788,83/600,987/608 is 819210

Given numbers has no common factors except 1. So, there LCM is their product i.e 3276840

Least Common Multiple of 40,83,987 with GCF Formula

Least Common Multiple of 40,83,987 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 40,83,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,83,987) = 1

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

GCF(40,83,987) x common factors =1 x 1 = 1

LCM(40,83,987) = ( 40 × 83 × 987 ) / 1

LCM(40,83,987) = 3276840 / 1

LCM(40,83,987) = 3276840


Lets's calculate GCF of 788,600,608

2 788, 600, 608
2 394, 300, 304
197, 150, 152

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3276840/4

Therefore the LCM of Fractions 40/788,83/600,987/608 is 819210

Greatest Common Factor of 788,600,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,600,608 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 788,600,608 . The biggest common factor number is the GCF number.
So the greatest common factor 788,600,608 is 4.


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 40/788, 83/600, 987/608

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 40/788, 83/600, 987/608?

Answer: LCM of Numerators as per given numbers 40/788, 83/600, 987/608 is

LCM of Numerators i.e. for 40,83,987 is 3276840

GCF of denominators i.e. for 788,600,608 is 4.

Thus, LCM of Fractions is 819210.Finally, LCM of Fractions for 40/788, 83/600, 987/608 is 819210.