Least Common Multiple of 50/412, 8360/8954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/412, 8360/8954 quickly i.e. 20900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/412, 8360/8954 is 20900.

LCM(50/412, 8360/8954) = 20900

LCM of 50/412, 8360/8954

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 50/412,8360/8954

Given numbers are 50/412,8360/8954

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 50,8360

Least Common Multiple of Numerators i.e. LCM of 50,8360 is 41800.

GCF of Denominators means GCF of 412,8954 as per the given fractions.

GCF of 412,8954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,8360

LCM of Fractions 50/412,8360/8954 is 20900

2 50, 8360
5 25, 4180
5, 836

∴ So the LCM of the given numbers is 2 x 5 x 5 x 836 = 41800

Least Common Multiple of 50,8360 with GCF Formula

Least Common Multiple of 50,8360 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 50,8360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,8360) = 10

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

GCF(50,8360) x common factors =10 x 1 = 10

LCM(50,8360) = ( 50 × 8360 ) / 10

LCM(50,8360) = 418000 / 10

LCM(50,8360) = 41800


Lets's calculate GCF of 412,8954

2 412, 8954
206, 4477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41800/2

Therefore the LCM of Fractions 50/412,8360/8954 is 20900

Greatest Common Factor of 412,8954 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,8954 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 8954

List of positive integer factors of 8954 that divides 8954 without a remainder.

1,2,11,22,37,74,121,242,407,814,4477,8954

Greatest Common Factor

We found the factors 412,8954 . The biggest common factor number is the GCF number.
So the greatest common factor 412,8954 is 2.


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 50/412, 8360/8954

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 50/412, 8360/8954?

Answer: LCM of Numerators as per given numbers 50/412, 8360/8954 is

LCM of Numerators i.e. for 50,8360 is 41800

GCF of denominators i.e. for 412,8954 is 2.

Thus, LCM of Fractions is 20900.Finally, LCM of Fractions for 50/412, 8360/8954 is 20900.