Least Common Multiple of 32/550, 140/316, 286/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/550, 140/316, 286/396 quickly i.e. 80080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/550, 140/316, 286/396 is 80080.

LCM(32/550, 140/316, 286/396) = 80080

LCM of 32/550, 140/316, 286/396

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 32/550,140/316,286/396

Given numbers are 32/550,140/316,286/396

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 32,140,286

Least Common Multiple of Numerators i.e. LCM of 32,140,286 is 160160.

GCF of Denominators means GCF of 550,316,396 as per the given fractions.

GCF of 550,316,396 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,140,286

LCM of Fractions 32/550,140/316,286/396 is 80080

2 32, 140, 286
2 16, 70, 143
8, 35, 143

∴ So the LCM of the given numbers is 2 x 2 x 8 x 35 x 143 = 160160

Least Common Multiple of 32,140,286 with GCF Formula

Least Common Multiple of 32,140,286 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 32,140,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,140,286) = 2

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

GCF(32,140,286) x common factors =2 x 4 = 8

LCM(32,140,286) = ( 32 × 140 × 286 ) / 8

LCM(32,140,286) = 1281280 / 8

LCM(32,140,286) = 160160


Lets's calculate GCF of 550,316,396

2 550, 316, 396
275, 158, 198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160160/2

Therefore the LCM of Fractions 32/550,140/316,286/396 is 80080

Greatest Common Factor of 550,316,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,316,396 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 550,316,396 . The biggest common factor number is the GCF number.
So the greatest common factor 550,316,396 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 32/550, 140/316, 286/396

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 32/550, 140/316, 286/396?

Answer: LCM of Numerators as per given numbers 32/550, 140/316, 286/396 is

LCM of Numerators i.e. for 32,140,286 is 160160

GCF of denominators i.e. for 550,316,396 is 2.

Thus, LCM of Fractions is 80080.Finally, LCM of Fractions for 32/550, 140/316, 286/396 is 80080.