Least Common Multiple of 67/851, 19/550, 408/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/851, 19/550, 408/782 quickly i.e. 519384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/851, 19/550, 408/782 is 519384.

LCM(67/851, 19/550, 408/782) = 519384

LCM of 67/851, 19/550, 408/782

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 67/851,19/550,408/782

Given numbers are 67/851,19/550,408/782

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 67,19,408

Least Common Multiple of Numerators i.e. LCM of 67,19,408 is 519384.

GCF of Denominators means GCF of 851,550,782 as per the given fractions.

GCF of 851,550,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,19,408

LCM of Fractions 67/851,19/550,408/782 is 519384

Given numbers has no common factors except 1. So, there LCM is their product i.e 519384

Least Common Multiple of 67,19,408 with GCF Formula

Least Common Multiple of 67,19,408 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 67,19,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,19,408) = 1

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

GCF(67,19,408) x common factors =1 x 1 = 1

LCM(67,19,408) = ( 67 × 19 × 408 ) / 1

LCM(67,19,408) = 519384 / 1

LCM(67,19,408) = 519384


Lets's calculate GCF of 851,550,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 519384/1

Therefore the LCM of Fractions 67/851,19/550,408/782 is 519384

Greatest Common Factor of 851,550,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,550,782 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 851,550,782 . The biggest common factor number is the GCF number.
So the greatest common factor 851,550,782 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 67/851, 19/550, 408/782

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 67/851, 19/550, 408/782?

Answer: LCM of Numerators as per given numbers 67/851, 19/550, 408/782 is

LCM of Numerators i.e. for 67,19,408 is 519384

GCF of denominators i.e. for 851,550,782 is 1.

Thus, LCM of Fractions is 519384.Finally, LCM of Fractions for 67/851, 19/550, 408/782 is 519384.