Least Common Multiple of 36/74, 86/34, 19/40, 50/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/74, 86/34, 19/40, 50/102 quickly i.e. 367650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/74, 86/34, 19/40, 50/102 is 367650.

LCM(36/74, 86/34, 19/40, 50/102) = 367650

LCM of 36/74, 86/34, 19/40, 50/102

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 36/74,86/34,19/40,50/102

Given numbers are 36/74,86/34,19/40,50/102

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 36,86,19,50

Least Common Multiple of Numerators i.e. LCM of 36,86,19,50 is 735300.

GCF of Denominators means GCF of 74,34,40,102 as per the given fractions.

GCF of 74,34,40,102 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,86,19,50

LCM of Fractions 36/74,86/34,19/40,50/102 is 367650

2 36, 86, 19, 50
18, 43, 19, 25

∴ So the LCM of the given numbers is 2 x 18 x 43 x 19 x 25 = 735300

Least Common Multiple of 36,86,19,50 with GCF Formula

Least Common Multiple of 36,86,19,50 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 36,86,19,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,86,19,50) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,86,19,50) x common factors =1 x 4 = 4

LCM(36,86,19,50) = ( 36 × 86 × 19 × 50 ) / 4

LCM(36,86,19,50) = 2941200 / 4

LCM(36,86,19,50) = 735300


Lets's calculate GCF of 74,34,40,102

2 74, 34, 40, 102
37, 17, 20, 51

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735300/2

Therefore the LCM of Fractions 36/74,86/34,19/40,50/102 is 367650

Greatest Common Factor of 74,34,40,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,34,40,102 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 74,34,40,102 . The biggest common factor number is the GCF number.
So the greatest common factor 74,34,40,102 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 36/74, 86/34, 19/40, 50/102

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 36/74, 86/34, 19/40, 50/102?

Answer: LCM of Numerators as per given numbers 36/74, 86/34, 19/40, 50/102 is

LCM of Numerators i.e. for 36,86,19,50 is 735300

GCF of denominators i.e. for 74,34,40,102 is 2.

Thus, LCM of Fractions is 367650.Finally, LCM of Fractions for 36/74, 86/34, 19/40, 50/102 is 367650.