Least Common Multiple of 2/84, 3/85, 75/12, 86/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/84, 3/85, 75/12, 86/814 quickly i.e. 6450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/84, 3/85, 75/12, 86/814 is 6450.

LCM(2/84, 3/85, 75/12, 86/814) = 6450

LCM of 2/84, 3/85, 75/12, 86/814

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 2/84,3/85,75/12,86/814

Given numbers are 2/84,3/85,75/12,86/814

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 2,3,75,86

Least Common Multiple of Numerators i.e. LCM of 2,3,75,86 is 6450.

GCF of Denominators means GCF of 84,85,12,814 as per the given fractions.

GCF of 84,85,12,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,3,75,86

LCM of Fractions 2/84,3/85,75/12,86/814 is 6450

2 2, 3, 75, 86
3 1, 3, 75, 43
1, 1, 25, 43

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 25 x 43 = 6450

Least Common Multiple of 2,3,75,86 with GCF Formula

Least Common Multiple of 2,3,75,86 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 2,3,75,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,3,75,86) = 1

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

GCF(2,3,75,86) x common factors =1 x 6 = 6

LCM(2,3,75,86) = ( 2 × 3 × 75 × 86 ) / 6

LCM(2,3,75,86) = 38700 / 6

LCM(2,3,75,86) = 6450


Lets's calculate GCF of 84,85,12,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6450/1

Therefore the LCM of Fractions 2/84,3/85,75/12,86/814 is 6450

Greatest Common Factor of 84,85,12,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,85,12,814 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 84,85,12,814 . The biggest common factor number is the GCF number.
So the greatest common factor 84,85,12,814 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 2/84, 3/85, 75/12, 86/814

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 2/84, 3/85, 75/12, 86/814?

Answer: LCM of Numerators as per given numbers 2/84, 3/85, 75/12, 86/814 is

LCM of Numerators i.e. for 2,3,75,86 is 6450

GCF of denominators i.e. for 84,85,12,814 is 1.

Thus, LCM of Fractions is 6450.Finally, LCM of Fractions for 2/84, 3/85, 75/12, 86/814 is 6450.