Least Common Multiple of 37/874, 91/600, 474/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/874, 91/600, 474/791 quickly i.e. 1595958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/874, 91/600, 474/791 is 1595958.

LCM(37/874, 91/600, 474/791) = 1595958

LCM of 37/874, 91/600, 474/791

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 37/874,91/600,474/791

Given numbers are 37/874,91/600,474/791

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 37,91,474

Least Common Multiple of Numerators i.e. LCM of 37,91,474 is 1595958.

GCF of Denominators means GCF of 874,600,791 as per the given fractions.

GCF of 874,600,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,91,474

LCM of Fractions 37/874,91/600,474/791 is 1595958

Given numbers has no common factors except 1. So, there LCM is their product i.e 1595958

Least Common Multiple of 37,91,474 with GCF Formula

Least Common Multiple of 37,91,474 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 37,91,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,91,474) = 1

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

GCF(37,91,474) x common factors =1 x 1 = 1

LCM(37,91,474) = ( 37 × 91 × 474 ) / 1

LCM(37,91,474) = 1595958 / 1

LCM(37,91,474) = 1595958


Lets's calculate GCF of 874,600,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1595958/1

Therefore the LCM of Fractions 37/874,91/600,474/791 is 1595958

Greatest Common Factor of 874,600,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,600,791 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 874,600,791 . The biggest common factor number is the GCF number.
So the greatest common factor 874,600,791 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/874, 91/600, 474/791

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 37/874, 91/600, 474/791?

Answer: LCM of Numerators as per given numbers 37/874, 91/600, 474/791 is

LCM of Numerators i.e. for 37,91,474 is 1595958

GCF of denominators i.e. for 874,600,791 is 1.

Thus, LCM of Fractions is 1595958.Finally, LCM of Fractions for 37/874, 91/600, 474/791 is 1595958.