Least Common Multiple of 50/354, 2824/7474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/354, 2824/7474 quickly i.e. 35300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/354, 2824/7474 is 35300.

LCM(50/354, 2824/7474) = 35300

LCM of 50/354, 2824/7474

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 50/354,2824/7474

Given numbers are 50/354,2824/7474

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 50,2824

Least Common Multiple of Numerators i.e. LCM of 50,2824 is 70600.

GCF of Denominators means GCF of 354,7474 as per the given fractions.

GCF of 354,7474 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,2824

LCM of Fractions 50/354,2824/7474 is 35300

2 50, 2824
25, 1412

∴ So the LCM of the given numbers is 2 x 25 x 1412 = 70600

Least Common Multiple of 50,2824 with GCF Formula

Least Common Multiple of 50,2824 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 50,2824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,2824) = 2

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

GCF(50,2824) x common factors =2 x 1 = 2

LCM(50,2824) = ( 50 × 2824 ) / 2

LCM(50,2824) = 141200 / 2

LCM(50,2824) = 70600


Lets's calculate GCF of 354,7474

2 354, 7474
177, 3737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70600/2

Therefore the LCM of Fractions 50/354,2824/7474 is 35300

Greatest Common Factor of 354,7474 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,7474 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 7474

List of positive integer factors of 7474 that divides 7474 without a remainder.

1,2,37,74,101,202,3737,7474

Greatest Common Factor

We found the factors 354,7474 . The biggest common factor number is the GCF number.
So the greatest common factor 354,7474 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 50/354, 2824/7474

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 50/354, 2824/7474?

Answer: LCM of Numerators as per given numbers 50/354, 2824/7474 is

LCM of Numerators i.e. for 50,2824 is 70600

GCF of denominators i.e. for 354,7474 is 2.

Thus, LCM of Fractions is 35300.Finally, LCM of Fractions for 50/354, 2824/7474 is 35300.