Least Common Multiple of 599/70, 185/37, 494/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 599/70, 185/37, 494/37 quickly i.e. 54742610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 599/70, 185/37, 494/37 is 54742610.

LCM(599/70, 185/37, 494/37) = 54742610

LCM of 599/70, 185/37, 494/37

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 599/70,185/37,494/37

Given numbers are 599/70,185/37,494/37

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 599,185,494

Least Common Multiple of Numerators i.e. LCM of 599,185,494 is 54742610.

GCF of Denominators means GCF of 70,37,37 as per the given fractions.

GCF of 70,37,37 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 599,185,494

LCM of Fractions 599/70,185/37,494/37 is 54742610

Given numbers has no common factors except 1. So, there LCM is their product i.e 54742610

Least Common Multiple of 599,185,494 with GCF Formula

Least Common Multiple of 599,185,494 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 599,185,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(599,185,494) = 1

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

GCF(599,185,494) x common factors =1 x 1 = 1

LCM(599,185,494) = ( 599 × 185 × 494 ) / 1

LCM(599,185,494) = 54742610 / 1

LCM(599,185,494) = 54742610


Lets's calculate GCF of 70,37,37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54742610/1

Therefore the LCM of Fractions 599/70,185/37,494/37 is 54742610

Greatest Common Factor of 70,37,37 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,37,37 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors 70,37,37 . The biggest common factor number is the GCF number.
So the greatest common factor 70,37,37 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 599/70, 185/37, 494/37

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 599/70, 185/37, 494/37?

Answer: LCM of Numerators as per given numbers 599/70, 185/37, 494/37 is

LCM of Numerators i.e. for 599,185,494 is 54742610

GCF of denominators i.e. for 70,37,37 is 1.

Thus, LCM of Fractions is 54742610.Finally, LCM of Fractions for 599/70, 185/37, 494/37 is 54742610.