Least Common Multiple of 355/50, 406/7848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 355/50, 406/7848 quickly i.e. 72065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 355/50, 406/7848 is 72065.

LCM(355/50, 406/7848) = 72065

LCM of 355/50, 406/7848

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 355/50,406/7848

Given numbers are 355/50,406/7848

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 355,406

Least Common Multiple of Numerators i.e. LCM of 355,406 is 144130.

GCF of Denominators means GCF of 50,7848 as per the given fractions.

GCF of 50,7848 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 355,406

LCM of Fractions 355/50,406/7848 is 72065

Given numbers has no common factors except 1. So, there LCM is their product i.e 144130

Least Common Multiple of 355,406 with GCF Formula

Least Common Multiple of 355,406 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 355,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,406) = 1

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

GCF(355,406) x common factors =1 x 1 = 1

LCM(355,406) = ( 355 × 406 ) / 1

LCM(355,406) = 144130 / 1

LCM(355,406) = 144130


Lets's calculate GCF of 50,7848

2 50, 7848
25, 3924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144130/2

Therefore the LCM of Fractions 355/50,406/7848 is 72065

Greatest Common Factor of 50,7848 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,7848 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 7848

List of positive integer factors of 7848 that divides 7848 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848

Greatest Common Factor

We found the factors 50,7848 . The biggest common factor number is the GCF number.
So the greatest common factor 50,7848 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 355/50, 406/7848

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 355/50, 406/7848?

Answer: LCM of Numerators as per given numbers 355/50, 406/7848 is

LCM of Numerators i.e. for 355,406 is 144130

GCF of denominators i.e. for 50,7848 is 2.

Thus, LCM of Fractions is 72065.Finally, LCM of Fractions for 355/50, 406/7848 is 72065.