Least Common Multiple of 50/364, 423/902, 577/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/364, 423/902, 577/734 quickly i.e. 6101775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/364, 423/902, 577/734 is 6101775.

LCM(50/364, 423/902, 577/734) = 6101775

LCM of 50/364, 423/902, 577/734

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 50/364,423/902,577/734

Given numbers are 50/364,423/902,577/734

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 50,423,577

Least Common Multiple of Numerators i.e. LCM of 50,423,577 is 12203550.

GCF of Denominators means GCF of 364,902,734 as per the given fractions.

GCF of 364,902,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,423,577

LCM of Fractions 50/364,423/902,577/734 is 6101775

Given numbers has no common factors except 1. So, there LCM is their product i.e 12203550

Least Common Multiple of 50,423,577 with GCF Formula

Least Common Multiple of 50,423,577 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 50,423,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,423,577) = 1

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

GCF(50,423,577) x common factors =1 x 1 = 1

LCM(50,423,577) = ( 50 × 423 × 577 ) / 1

LCM(50,423,577) = 12203550 / 1

LCM(50,423,577) = 12203550


Lets's calculate GCF of 364,902,734

2 364, 902, 734
182, 451, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12203550/2

Therefore the LCM of Fractions 50/364,423/902,577/734 is 6101775

Greatest Common Factor of 364,902,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,902,734 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 364,902,734 . The biggest common factor number is the GCF number.
So the greatest common factor 364,902,734 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 50/364, 423/902, 577/734

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 50/364, 423/902, 577/734?

Answer: LCM of Numerators as per given numbers 50/364, 423/902, 577/734 is

LCM of Numerators i.e. for 50,423,577 is 12203550

GCF of denominators i.e. for 364,902,734 is 2.

Thus, LCM of Fractions is 6101775.Finally, LCM of Fractions for 50/364, 423/902, 577/734 is 6101775.