Least Common Multiple of 50/152, 32/989, 734/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/152, 32/989, 734/425 quickly i.e. 293600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/152, 32/989, 734/425 is 293600.

LCM(50/152, 32/989, 734/425) = 293600

LCM of 50/152, 32/989, 734/425

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 50/152,32/989,734/425

Given numbers are 50/152,32/989,734/425

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 50,32,734

Least Common Multiple of Numerators i.e. LCM of 50,32,734 is 293600.

GCF of Denominators means GCF of 152,989,425 as per the given fractions.

GCF of 152,989,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,32,734

LCM of Fractions 50/152,32/989,734/425 is 293600

2 50, 32, 734
25, 16, 367

∴ So the LCM of the given numbers is 2 x 25 x 16 x 367 = 293600

Least Common Multiple of 50,32,734 with GCF Formula

Least Common Multiple of 50,32,734 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 50,32,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,32,734) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(50,32,734) x common factors =2 x 2 = 4

LCM(50,32,734) = ( 50 × 32 × 734 ) / 4

LCM(50,32,734) = 1174400 / 4

LCM(50,32,734) = 293600


Lets's calculate GCF of 152,989,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293600/1

Therefore the LCM of Fractions 50/152,32/989,734/425 is 293600

Greatest Common Factor of 152,989,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,989,425 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 152,989,425 . The biggest common factor number is the GCF number.
So the greatest common factor 152,989,425 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/152, 32/989, 734/425

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 50/152, 32/989, 734/425?

Answer: LCM of Numerators as per given numbers 50/152, 32/989, 734/425 is

LCM of Numerators i.e. for 50,32,734 is 293600

GCF of denominators i.e. for 152,989,425 is 1.

Thus, LCM of Fractions is 293600.Finally, LCM of Fractions for 50/152, 32/989, 734/425 is 293600.