Least Common Multiple of 96/312, 312/614, 201/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/312, 312/614, 201/868 quickly i.e. 41808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/312, 312/614, 201/868 is 41808.

LCM(96/312, 312/614, 201/868) = 41808

LCM of 96/312, 312/614, 201/868

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 96/312,312/614,201/868

Given numbers are 96/312,312/614,201/868

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 96,312,201

Least Common Multiple of Numerators i.e. LCM of 96,312,201 is 83616.

GCF of Denominators means GCF of 312,614,868 as per the given fractions.

GCF of 312,614,868 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,312,201

LCM of Fractions 96/312,312/614,201/868 is 41808

2 96, 312, 201
2 48, 156, 201
2 24, 78, 201
3 12, 39, 201
4, 13, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 13 x 67 = 83616

Least Common Multiple of 96,312,201 with GCF Formula

Least Common Multiple of 96,312,201 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 96,312,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,312,201) = 3

common factors(in case of two or more numbers have common factors) = 24

GCF(96,312,201) x common factors =3 x 24 = 72

LCM(96,312,201) = ( 96 × 312 × 201 ) / 72

LCM(96,312,201) = 6020352 / 72

LCM(96,312,201) = 83616


Lets's calculate GCF of 312,614,868

2 312, 614, 868
156, 307, 434

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83616/2

Therefore the LCM of Fractions 96/312,312/614,201/868 is 41808

Greatest Common Factor of 312,614,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,614,868 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 312,614,868 . The biggest common factor number is the GCF number.
So the greatest common factor 312,614,868 is 2.


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 96/312, 312/614, 201/868

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 96/312, 312/614, 201/868?

Answer: LCM of Numerators as per given numbers 96/312, 312/614, 201/868 is

LCM of Numerators i.e. for 96,312,201 is 83616

GCF of denominators i.e. for 312,614,868 is 2.

Thus, LCM of Fractions is 41808.Finally, LCM of Fractions for 96/312, 312/614, 201/868 is 41808.