Least Common Multiple of 646/50, 940/75, 984/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 646/50, 940/75, 984/240 quickly i.e. 14938104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/50, 940/75, 984/240 is 14938104.

LCM(646/50, 940/75, 984/240) = 14938104

LCM of 646/50, 940/75, 984/240

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 646/50,940/75,984/240

Given numbers are 646/50,940/75,984/240

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 646,940,984

Least Common Multiple of Numerators i.e. LCM of 646,940,984 is 74690520.

GCF of Denominators means GCF of 50,75,240 as per the given fractions.

GCF of 50,75,240 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,940,984

LCM of Fractions 646/50,940/75,984/240 is 14938104

2 646, 940, 984
2 323, 470, 492
323, 235, 246

∴ So the LCM of the given numbers is 2 x 2 x 323 x 235 x 246 = 74690520

Least Common Multiple of 646,940,984 with GCF Formula

Least Common Multiple of 646,940,984 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 646,940,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,940,984) = 2

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

GCF(646,940,984) x common factors =2 x 4 = 8

LCM(646,940,984) = ( 646 × 940 × 984 ) / 8

LCM(646,940,984) = 597524160 / 8

LCM(646,940,984) = 74690520


Lets's calculate GCF of 50,75,240

5 50, 75, 240
10, 15, 48

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74690520/5

Therefore the LCM of Fractions 646/50,940/75,984/240 is 14938104

Greatest Common Factor of 50,75,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,75,240 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 50,75,240 . The biggest common factor number is the GCF number.
So the greatest common factor 50,75,240 is 5.


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 646/50, 940/75, 984/240

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 646/50, 940/75, 984/240?

Answer: LCM of Numerators as per given numbers 646/50, 940/75, 984/240 is

LCM of Numerators i.e. for 646,940,984 is 74690520

GCF of denominators i.e. for 50,75,240 is 5.

Thus, LCM of Fractions is 14938104.Finally, LCM of Fractions for 646/50, 940/75, 984/240 is 14938104.