Least Common Multiple of 74/63, 30/58, 50/74, 65/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/63, 30/58, 50/74, 65/984 quickly i.e. 72150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/63, 30/58, 50/74, 65/984 is 72150.

LCM(74/63, 30/58, 50/74, 65/984) = 72150

LCM of 74/63, 30/58, 50/74, 65/984

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 74/63,30/58,50/74,65/984

Given numbers are 74/63,30/58,50/74,65/984

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 74,30,50,65

Least Common Multiple of Numerators i.e. LCM of 74,30,50,65 is 72150.

GCF of Denominators means GCF of 63,58,74,984 as per the given fractions.

GCF of 63,58,74,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,30,50,65

LCM of Fractions 74/63,30/58,50/74,65/984 is 72150

2 74, 30, 50, 65
5 37, 15, 25, 65
37, 3, 5, 13

∴ So the LCM of the given numbers is 2 x 5 x 37 x 3 x 5 x 13 = 72150

Least Common Multiple of 74,30,50,65 with GCF Formula

Least Common Multiple of 74,30,50,65 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 74,30,50,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,30,50,65) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(74,30,50,65) x common factors =1 x 100 = 100

LCM(74,30,50,65) = ( 74 × 30 × 50 × 65 ) / 100

LCM(74,30,50,65) = 7215000 / 100

LCM(74,30,50,65) = 72150


Lets's calculate GCF of 63,58,74,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72150/1

Therefore the LCM of Fractions 74/63,30/58,50/74,65/984 is 72150

Greatest Common Factor of 63,58,74,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,58,74,984 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 74

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

1,2,37,74

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 63,58,74,984 . The biggest common factor number is the GCF number.
So the greatest common factor 63,58,74,984 is 1.


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 74/63, 30/58, 50/74, 65/984

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 74/63, 30/58, 50/74, 65/984?

Answer: LCM of Numerators as per given numbers 74/63, 30/58, 50/74, 65/984 is

LCM of Numerators i.e. for 74,30,50,65 is 72150

GCF of denominators i.e. for 63,58,74,984 is 1.

Thus, LCM of Fractions is 72150.Finally, LCM of Fractions for 74/63, 30/58, 50/74, 65/984 is 72150.