Least Common Multiple of 312/12, 867/88, 948/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/12, 867/88, 948/774 quickly i.e. 3561636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/12, 867/88, 948/774 is 3561636.

LCM(312/12, 867/88, 948/774) = 3561636

LCM of 312/12, 867/88, 948/774

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 312/12,867/88,948/774

Given numbers are 312/12,867/88,948/774

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 312,867,948

Least Common Multiple of Numerators i.e. LCM of 312,867,948 is 7123272.

GCF of Denominators means GCF of 12,88,774 as per the given fractions.

GCF of 12,88,774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,867,948

LCM of Fractions 312/12,867/88,948/774 is 3561636

2 312, 867, 948
2 156, 867, 474
3 78, 867, 237
26, 289, 79

∴ So the LCM of the given numbers is 2 x 2 x 3 x 26 x 289 x 79 = 7123272

Least Common Multiple of 312,867,948 with GCF Formula

Least Common Multiple of 312,867,948 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 312,867,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,867,948) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(312,867,948) x common factors =3 x 12 = 36

LCM(312,867,948) = ( 312 × 867 × 948 ) / 36

LCM(312,867,948) = 256437792 / 36

LCM(312,867,948) = 7123272


Lets's calculate GCF of 12,88,774

2 12, 88, 774
6, 44, 387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7123272/2

Therefore the LCM of Fractions 312/12,867/88,948/774 is 3561636

Greatest Common Factor of 12,88,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,88,774 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 12,88,774 . The biggest common factor number is the GCF number.
So the greatest common factor 12,88,774 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 312/12, 867/88, 948/774

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 312/12, 867/88, 948/774?

Answer: LCM of Numerators as per given numbers 312/12, 867/88, 948/774 is

LCM of Numerators i.e. for 312,867,948 is 7123272

GCF of denominators i.e. for 12,88,774 is 2.

Thus, LCM of Fractions is 3561636.Finally, LCM of Fractions for 312/12, 867/88, 948/774 is 3561636.