Least Common Multiple of 32/390, 857/30, 106/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/390, 857/30, 106/546 quickly i.e. 1453472/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/390, 857/30, 106/546 is 1453472/6.

LCM(32/390, 857/30, 106/546) = 1453472/6

LCM of 32/390, 857/30, 106/546

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 32/390,857/30,106/546

Given numbers are 32/390,857/30,106/546

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 32,857,106

Least Common Multiple of Numerators i.e. LCM of 32,857,106 is 1453472.

GCF of Denominators means GCF of 390,30,546 as per the given fractions.

GCF of 390,30,546 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,857,106

LCM of Fractions 32/390,857/30,106/546 is 1453472/6

2 32, 857, 106
16, 857, 53

∴ So the LCM of the given numbers is 2 x 16 x 857 x 53 = 1453472

Least Common Multiple of 32,857,106 with GCF Formula

Least Common Multiple of 32,857,106 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 32,857,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,857,106) = 1

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

GCF(32,857,106) x common factors =1 x 2 = 2

LCM(32,857,106) = ( 32 × 857 × 106 ) / 2

LCM(32,857,106) = 2906944 / 2

LCM(32,857,106) = 1453472


Lets's calculate GCF of 390,30,546

2 390, 30, 546
3 195, 15, 273
65, 5, 91

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1453472/6

Therefore the LCM of Fractions 32/390,857/30,106/546 is 1453472/6

Greatest Common Factor of 390,30,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,30,546 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 390,30,546 . The biggest common factor number is the GCF number.
So the greatest common factor 390,30,546 is 6.


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 32/390, 857/30, 106/546

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 32/390, 857/30, 106/546?

Answer: LCM of Numerators as per given numbers 32/390, 857/30, 106/546 is

LCM of Numerators i.e. for 32,857,106 is 1453472

GCF of denominators i.e. for 390,30,546 is 6.

Thus, LCM of Fractions is 1453472/6.Finally, LCM of Fractions for 32/390, 857/30, 106/546 is 1453472/6.