Least Common Multiple of 207/48, 978/68, 794/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 207/48, 978/68, 794/566 quickly i.e. 13395177 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 207/48, 978/68, 794/566 is 13395177.

LCM(207/48, 978/68, 794/566) = 13395177

LCM of 207/48, 978/68, 794/566

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 207/48,978/68,794/566

Given numbers are 207/48,978/68,794/566

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 207,978,794

Least Common Multiple of Numerators i.e. LCM of 207,978,794 is 26790354.

GCF of Denominators means GCF of 48,68,566 as per the given fractions.

GCF of 48,68,566 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 207,978,794

LCM of Fractions 207/48,978/68,794/566 is 13395177

2 207, 978, 794
3 207, 489, 397
69, 163, 397

∴ So the LCM of the given numbers is 2 x 3 x 69 x 163 x 397 = 26790354

Least Common Multiple of 207,978,794 with GCF Formula

Least Common Multiple of 207,978,794 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 207,978,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,978,794) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(207,978,794) x common factors =1 x 6 = 6

LCM(207,978,794) = ( 207 × 978 × 794 ) / 6

LCM(207,978,794) = 160742124 / 6

LCM(207,978,794) = 26790354


Lets's calculate GCF of 48,68,566

2 48, 68, 566
24, 34, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26790354/2

Therefore the LCM of Fractions 207/48,978/68,794/566 is 13395177

Greatest Common Factor of 48,68,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,68,566 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 48,68,566 . The biggest common factor number is the GCF number.
So the greatest common factor 48,68,566 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 207/48, 978/68, 794/566

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 207/48, 978/68, 794/566?

Answer: LCM of Numerators as per given numbers 207/48, 978/68, 794/566 is

LCM of Numerators i.e. for 207,978,794 is 26790354

GCF of denominators i.e. for 48,68,566 is 2.

Thus, LCM of Fractions is 13395177.Finally, LCM of Fractions for 207/48, 978/68, 794/566 is 13395177.