Least Common Multiple of 793/342, 808/889, 419/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 793/342, 808/889, 419/621 quickly i.e. 268471736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 793/342, 808/889, 419/621 is 268471736.

LCM(793/342, 808/889, 419/621) = 268471736

LCM of 793/342, 808/889, 419/621

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 793/342,808/889,419/621

Given numbers are 793/342,808/889,419/621

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 793,808,419

Least Common Multiple of Numerators i.e. LCM of 793,808,419 is 268471736.

GCF of Denominators means GCF of 342,889,621 as per the given fractions.

GCF of 342,889,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 793,808,419

LCM of Fractions 793/342,808/889,419/621 is 268471736

Given numbers has no common factors except 1. So, there LCM is their product i.e 268471736

Least Common Multiple of 793,808,419 with GCF Formula

Least Common Multiple of 793,808,419 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 793,808,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,808,419) = 1

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

GCF(793,808,419) x common factors =1 x 1 = 1

LCM(793,808,419) = ( 793 × 808 × 419 ) / 1

LCM(793,808,419) = 268471736 / 1

LCM(793,808,419) = 268471736


Lets's calculate GCF of 342,889,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268471736/1

Therefore the LCM of Fractions 793/342,808/889,419/621 is 268471736

Greatest Common Factor of 342,889,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,889,621 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 342,889,621 . The biggest common factor number is the GCF number.
So the greatest common factor 342,889,621 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 793/342, 808/889, 419/621

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 793/342, 808/889, 419/621?

Answer: LCM of Numerators as per given numbers 793/342, 808/889, 419/621 is

LCM of Numerators i.e. for 793,808,419 is 268471736

GCF of denominators i.e. for 342,889,621 is 1.

Thus, LCM of Fractions is 268471736.Finally, LCM of Fractions for 793/342, 808/889, 419/621 is 268471736.