Least Common Multiple of 128/62, 975/74, 721/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 128/62, 975/74, 721/734 quickly i.e. 44990400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 128/62, 975/74, 721/734 is 44990400.

LCM(128/62, 975/74, 721/734) = 44990400

LCM of 128/62, 975/74, 721/734

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 128/62,975/74,721/734

Given numbers are 128/62,975/74,721/734

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 128,975,721

Least Common Multiple of Numerators i.e. LCM of 128,975,721 is 89980800.

GCF of Denominators means GCF of 62,74,734 as per the given fractions.

GCF of 62,74,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 128,975,721

LCM of Fractions 128/62,975/74,721/734 is 44990400

Given numbers has no common factors except 1. So, there LCM is their product i.e 89980800

Least Common Multiple of 128,975,721 with GCF Formula

Least Common Multiple of 128,975,721 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 128,975,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,975,721) = 1

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

GCF(128,975,721) x common factors =1 x 1 = 1

LCM(128,975,721) = ( 128 × 975 × 721 ) / 1

LCM(128,975,721) = 89980800 / 1

LCM(128,975,721) = 89980800


Lets's calculate GCF of 62,74,734

2 62, 74, 734
31, 37, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89980800/2

Therefore the LCM of Fractions 128/62,975/74,721/734 is 44990400

Greatest Common Factor of 62,74,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,74,734 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

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 62,74,734 . The biggest common factor number is the GCF number.
So the greatest common factor 62,74,734 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 128/62, 975/74, 721/734

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 128/62, 975/74, 721/734?

Answer: LCM of Numerators as per given numbers 128/62, 975/74, 721/734 is

LCM of Numerators i.e. for 128,975,721 is 89980800

GCF of denominators i.e. for 62,74,734 is 2.

Thus, LCM of Fractions is 44990400.Finally, LCM of Fractions for 128/62, 975/74, 721/734 is 44990400.