Least Common Multiple of 86/612, 360/623, 645/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/612, 360/623, 645/978 quickly i.e. 15480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/612, 360/623, 645/978 is 15480.

LCM(86/612, 360/623, 645/978) = 15480

LCM of 86/612, 360/623, 645/978

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 86/612,360/623,645/978

Given numbers are 86/612,360/623,645/978

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 86,360,645

Least Common Multiple of Numerators i.e. LCM of 86,360,645 is 15480.

GCF of Denominators means GCF of 612,623,978 as per the given fractions.

GCF of 612,623,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,360,645

LCM of Fractions 86/612,360/623,645/978 is 15480

2 86, 360, 645
3 43, 180, 645
5 43, 60, 215
43 43, 12, 43
1, 12, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 43 x 1 x 12 x 1 = 15480

Least Common Multiple of 86,360,645 with GCF Formula

Least Common Multiple of 86,360,645 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 86,360,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,360,645) = 1

common factors(in case of two or more numbers have common factors) = 1290

GCF(86,360,645) x common factors =1 x 1290 = 1290

LCM(86,360,645) = ( 86 × 360 × 645 ) / 1290

LCM(86,360,645) = 19969200 / 1290

LCM(86,360,645) = 15480


Lets's calculate GCF of 612,623,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15480/1

Therefore the LCM of Fractions 86/612,360/623,645/978 is 15480

Greatest Common Factor of 612,623,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,623,978 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 612,623,978 . The biggest common factor number is the GCF number.
So the greatest common factor 612,623,978 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 86/612, 360/623, 645/978

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 86/612, 360/623, 645/978?

Answer: LCM of Numerators as per given numbers 86/612, 360/623, 645/978 is

LCM of Numerators i.e. for 86,360,645 is 15480

GCF of denominators i.e. for 612,623,978 is 1.

Thus, LCM of Fractions is 15480.Finally, LCM of Fractions for 86/612, 360/623, 645/978 is 15480.