Least Common Multiple of 93/225, 792/924, 381/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/225, 792/924, 381/708 quickly i.e. 1039368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/225, 792/924, 381/708 is 1039368.

LCM(93/225, 792/924, 381/708) = 1039368

LCM of 93/225, 792/924, 381/708

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 93/225,792/924,381/708

Given numbers are 93/225,792/924,381/708

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 93,792,381

Least Common Multiple of Numerators i.e. LCM of 93,792,381 is 3118104.

GCF of Denominators means GCF of 225,924,708 as per the given fractions.

GCF of 225,924,708 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,792,381

LCM of Fractions 93/225,792/924,381/708 is 1039368

3 93, 792, 381
31, 264, 127

∴ So the LCM of the given numbers is 3 x 31 x 264 x 127 = 3118104

Least Common Multiple of 93,792,381 with GCF Formula

Least Common Multiple of 93,792,381 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 93,792,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,792,381) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(93,792,381) x common factors =3 x 3 = 9

LCM(93,792,381) = ( 93 × 792 × 381 ) / 9

LCM(93,792,381) = 28062936 / 9

LCM(93,792,381) = 3118104


Lets's calculate GCF of 225,924,708

3 225, 924, 708
75, 308, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3118104/3

Therefore the LCM of Fractions 93/225,792/924,381/708 is 1039368

Greatest Common Factor of 225,924,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,924,708 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 225,924,708 . The biggest common factor number is the GCF number.
So the greatest common factor 225,924,708 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 93/225, 792/924, 381/708

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 93/225, 792/924, 381/708?

Answer: LCM of Numerators as per given numbers 93/225, 792/924, 381/708 is

LCM of Numerators i.e. for 93,792,381 is 3118104

GCF of denominators i.e. for 225,924,708 is 3.

Thus, LCM of Fractions is 1039368.Finally, LCM of Fractions for 93/225, 792/924, 381/708 is 1039368.