Least Common Multiple of 85/468, 37/316, 314/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/468, 37/316, 314/287 quickly i.e. 987530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/468, 37/316, 314/287 is 987530.

LCM(85/468, 37/316, 314/287) = 987530

LCM of 85/468, 37/316, 314/287

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 85/468,37/316,314/287

Given numbers are 85/468,37/316,314/287

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 85,37,314

Least Common Multiple of Numerators i.e. LCM of 85,37,314 is 987530.

GCF of Denominators means GCF of 468,316,287 as per the given fractions.

GCF of 468,316,287 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,37,314

LCM of Fractions 85/468,37/316,314/287 is 987530

Given numbers has no common factors except 1. So, there LCM is their product i.e 987530

Least Common Multiple of 85,37,314 with GCF Formula

Least Common Multiple of 85,37,314 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 85,37,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,37,314) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(85,37,314) x common factors =1 x 1 = 1

LCM(85,37,314) = ( 85 × 37 × 314 ) / 1

LCM(85,37,314) = 987530 / 1

LCM(85,37,314) = 987530


Lets's calculate GCF of 468,316,287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 987530/1

Therefore the LCM of Fractions 85/468,37/316,314/287 is 987530

Greatest Common Factor of 468,316,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,316,287 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 468,316,287 . The biggest common factor number is the GCF number.
So the greatest common factor 468,316,287 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 85/468, 37/316, 314/287

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 85/468, 37/316, 314/287?

Answer: LCM of Numerators as per given numbers 85/468, 37/316, 314/287 is

LCM of Numerators i.e. for 85,37,314 is 987530

GCF of denominators i.e. for 468,316,287 is 1.

Thus, LCM of Fractions is 987530.Finally, LCM of Fractions for 85/468, 37/316, 314/287 is 987530.