Least Common Multiple of 50/825, 416/910, 212/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/825, 416/910, 212/983 quickly i.e. 551200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/825, 416/910, 212/983 is 551200.

LCM(50/825, 416/910, 212/983) = 551200

LCM of 50/825, 416/910, 212/983

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 50/825,416/910,212/983

Given numbers are 50/825,416/910,212/983

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 50,416,212

Least Common Multiple of Numerators i.e. LCM of 50,416,212 is 551200.

GCF of Denominators means GCF of 825,910,983 as per the given fractions.

GCF of 825,910,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,416,212

LCM of Fractions 50/825,416/910,212/983 is 551200

2 50, 416, 212
2 25, 208, 106
25, 104, 53

∴ So the LCM of the given numbers is 2 x 2 x 25 x 104 x 53 = 551200

Least Common Multiple of 50,416,212 with GCF Formula

Least Common Multiple of 50,416,212 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 50,416,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,416,212) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(50,416,212) x common factors =2 x 4 = 8

LCM(50,416,212) = ( 50 × 416 × 212 ) / 8

LCM(50,416,212) = 4409600 / 8

LCM(50,416,212) = 551200


Lets's calculate GCF of 825,910,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 551200/1

Therefore the LCM of Fractions 50/825,416/910,212/983 is 551200

Greatest Common Factor of 825,910,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,910,983 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 825,910,983 . The biggest common factor number is the GCF number.
So the greatest common factor 825,910,983 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 50/825, 416/910, 212/983

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 50/825, 416/910, 212/983?

Answer: LCM of Numerators as per given numbers 50/825, 416/910, 212/983 is

LCM of Numerators i.e. for 50,416,212 is 551200

GCF of denominators i.e. for 825,910,983 is 1.

Thus, LCM of Fractions is 551200.Finally, LCM of Fractions for 50/825, 416/910, 212/983 is 551200.