Least Common Multiple of 62/91, 19/74, 32/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/91, 19/74, 32/300 quickly i.e. 18848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/91, 19/74, 32/300 is 18848.

LCM(62/91, 19/74, 32/300) = 18848

LCM of 62/91, 19/74, 32/300

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 62/91,19/74,32/300

Given numbers are 62/91,19/74,32/300

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 62,19,32

Least Common Multiple of Numerators i.e. LCM of 62,19,32 is 18848.

GCF of Denominators means GCF of 91,74,300 as per the given fractions.

GCF of 91,74,300 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,19,32

LCM of Fractions 62/91,19/74,32/300 is 18848

2 62, 19, 32
31, 19, 16

∴ So the LCM of the given numbers is 2 x 31 x 19 x 16 = 18848

Least Common Multiple of 62,19,32 with GCF Formula

Least Common Multiple of 62,19,32 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 62,19,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,19,32) = 1

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

GCF(62,19,32) x common factors =1 x 2 = 2

LCM(62,19,32) = ( 62 × 19 × 32 ) / 2

LCM(62,19,32) = 37696 / 2

LCM(62,19,32) = 18848


Lets's calculate GCF of 91,74,300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18848/1

Therefore the LCM of Fractions 62/91,19/74,32/300 is 18848

Greatest Common Factor of 91,74,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,74,300 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 74

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

1,2,37,74

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 91,74,300 . The biggest common factor number is the GCF number.
So the greatest common factor 91,74,300 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/91, 19/74, 32/300

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 62/91, 19/74, 32/300?

Answer: LCM of Numerators as per given numbers 62/91, 19/74, 32/300 is

LCM of Numerators i.e. for 62,19,32 is 18848

GCF of denominators i.e. for 91,74,300 is 1.

Thus, LCM of Fractions is 18848.Finally, LCM of Fractions for 62/91, 19/74, 32/300 is 18848.