Least Common Multiple of 50/842, 66/744, 346/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/842, 66/744, 346/411 quickly i.e. 285450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/842, 66/744, 346/411 is 285450.

LCM(50/842, 66/744, 346/411) = 285450

LCM of 50/842, 66/744, 346/411

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 50/842,66/744,346/411

Given numbers are 50/842,66/744,346/411

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 50,66,346

Least Common Multiple of Numerators i.e. LCM of 50,66,346 is 285450.

GCF of Denominators means GCF of 842,744,411 as per the given fractions.

GCF of 842,744,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,66,346

LCM of Fractions 50/842,66/744,346/411 is 285450

2 50, 66, 346
25, 33, 173

∴ So the LCM of the given numbers is 2 x 25 x 33 x 173 = 285450

Least Common Multiple of 50,66,346 with GCF Formula

Least Common Multiple of 50,66,346 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 50,66,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,66,346) = 2

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

GCF(50,66,346) x common factors =2 x 2 = 4

LCM(50,66,346) = ( 50 × 66 × 346 ) / 4

LCM(50,66,346) = 1141800 / 4

LCM(50,66,346) = 285450


Lets's calculate GCF of 842,744,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285450/1

Therefore the LCM of Fractions 50/842,66/744,346/411 is 285450

Greatest Common Factor of 842,744,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,744,411 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 842,744,411 . The biggest common factor number is the GCF number.
So the greatest common factor 842,744,411 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 50/842, 66/744, 346/411

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 50/842, 66/744, 346/411?

Answer: LCM of Numerators as per given numbers 50/842, 66/744, 346/411 is

LCM of Numerators i.e. for 50,66,346 is 285450

GCF of denominators i.e. for 842,744,411 is 1.

Thus, LCM of Fractions is 285450.Finally, LCM of Fractions for 50/842, 66/744, 346/411 is 285450.