Least Common Multiple of 86/342, 48/474, 531/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/342, 48/474, 531/807 quickly i.e. 121776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/342, 48/474, 531/807 is 121776.

LCM(86/342, 48/474, 531/807) = 121776

LCM of 86/342, 48/474, 531/807

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 86/342,48/474,531/807

Given numbers are 86/342,48/474,531/807

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 86,48,531

Least Common Multiple of Numerators i.e. LCM of 86,48,531 is 365328.

GCF of Denominators means GCF of 342,474,807 as per the given fractions.

GCF of 342,474,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,48,531

LCM of Fractions 86/342,48/474,531/807 is 121776

2 86, 48, 531
3 43, 24, 531
43, 8, 177

∴ So the LCM of the given numbers is 2 x 3 x 43 x 8 x 177 = 365328

Least Common Multiple of 86,48,531 with GCF Formula

Least Common Multiple of 86,48,531 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 86,48,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,48,531) = 1

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

GCF(86,48,531) x common factors =1 x 6 = 6

LCM(86,48,531) = ( 86 × 48 × 531 ) / 6

LCM(86,48,531) = 2191968 / 6

LCM(86,48,531) = 365328


Lets's calculate GCF of 342,474,807

3 342, 474, 807
114, 158, 269

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365328/3

Therefore the LCM of Fractions 86/342,48/474,531/807 is 121776

Greatest Common Factor of 342,474,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,474,807 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 342,474,807 . The biggest common factor number is the GCF number.
So the greatest common factor 342,474,807 is 3.


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 86/342, 48/474, 531/807

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 86/342, 48/474, 531/807?

Answer: LCM of Numerators as per given numbers 86/342, 48/474, 531/807 is

LCM of Numerators i.e. for 86,48,531 is 365328

GCF of denominators i.e. for 342,474,807 is 3.

Thus, LCM of Fractions is 121776.Finally, LCM of Fractions for 86/342, 48/474, 531/807 is 121776.