Least Common Multiple of 86/478, 722/685, 782/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/478, 722/685, 782/297 quickly i.e. 12138986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/478, 722/685, 782/297 is 12138986.

LCM(86/478, 722/685, 782/297) = 12138986

LCM of 86/478, 722/685, 782/297

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 86/478,722/685,782/297

Given numbers are 86/478,722/685,782/297

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 86,722,782

Least Common Multiple of Numerators i.e. LCM of 86,722,782 is 12138986.

GCF of Denominators means GCF of 478,685,297 as per the given fractions.

GCF of 478,685,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,722,782

LCM of Fractions 86/478,722/685,782/297 is 12138986

2 86, 722, 782
43, 361, 391

∴ So the LCM of the given numbers is 2 x 43 x 361 x 391 = 12138986

Least Common Multiple of 86,722,782 with GCF Formula

Least Common Multiple of 86,722,782 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 86,722,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,722,782) = 2

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

GCF(86,722,782) x common factors =2 x 2 = 4

LCM(86,722,782) = ( 86 × 722 × 782 ) / 4

LCM(86,722,782) = 48555944 / 4

LCM(86,722,782) = 12138986


Lets's calculate GCF of 478,685,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12138986/1

Therefore the LCM of Fractions 86/478,722/685,782/297 is 12138986

Greatest Common Factor of 478,685,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,685,297 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 478,685,297 . The biggest common factor number is the GCF number.
So the greatest common factor 478,685,297 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 86/478, 722/685, 782/297

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 86/478, 722/685, 782/297?

Answer: LCM of Numerators as per given numbers 86/478, 722/685, 782/297 is

LCM of Numerators i.e. for 86,722,782 is 12138986

GCF of denominators i.e. for 478,685,297 is 1.

Thus, LCM of Fractions is 12138986.Finally, LCM of Fractions for 86/478, 722/685, 782/297 is 12138986.