Least Common Multiple of 48/227, 715/774, 374/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/227, 715/774, 374/680 quickly i.e. 583440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/227, 715/774, 374/680 is 583440.

LCM(48/227, 715/774, 374/680) = 583440

LCM of 48/227, 715/774, 374/680

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 48/227,715/774,374/680

Given numbers are 48/227,715/774,374/680

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 48,715,374

Least Common Multiple of Numerators i.e. LCM of 48,715,374 is 583440.

GCF of Denominators means GCF of 227,774,680 as per the given fractions.

GCF of 227,774,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,715,374

LCM of Fractions 48/227,715/774,374/680 is 583440

2 48, 715, 374
11 24, 715, 187
24, 65, 17

∴ So the LCM of the given numbers is 2 x 11 x 24 x 65 x 17 = 583440

Least Common Multiple of 48,715,374 with GCF Formula

Least Common Multiple of 48,715,374 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 48,715,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,715,374) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(48,715,374) x common factors =1 x 22 = 22

LCM(48,715,374) = ( 48 × 715 × 374 ) / 22

LCM(48,715,374) = 12835680 / 22

LCM(48,715,374) = 583440


Lets's calculate GCF of 227,774,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 583440/1

Therefore the LCM of Fractions 48/227,715/774,374/680 is 583440

Greatest Common Factor of 227,774,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,774,680 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

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

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 227,774,680 . The biggest common factor number is the GCF number.
So the greatest common factor 227,774,680 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 48/227, 715/774, 374/680

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 48/227, 715/774, 374/680?

Answer: LCM of Numerators as per given numbers 48/227, 715/774, 374/680 is

LCM of Numerators i.e. for 48,715,374 is 583440

GCF of denominators i.e. for 227,774,680 is 1.

Thus, LCM of Fractions is 583440.Finally, LCM of Fractions for 48/227, 715/774, 374/680 is 583440.