Least Common Multiple of 884/76, 799/47, 274/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 884/76, 799/47, 274/105 quickly i.e. 5692076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 884/76, 799/47, 274/105 is 5692076.

LCM(884/76, 799/47, 274/105) = 5692076

LCM of 884/76, 799/47, 274/105

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 884/76,799/47,274/105

Given numbers are 884/76,799/47,274/105

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 884,799,274

Least Common Multiple of Numerators i.e. LCM of 884,799,274 is 5692076.

GCF of Denominators means GCF of 76,47,105 as per the given fractions.

GCF of 76,47,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 884,799,274

LCM of Fractions 884/76,799/47,274/105 is 5692076

2 884, 799, 274
17 442, 799, 137
26, 47, 137

∴ So the LCM of the given numbers is 2 x 17 x 26 x 47 x 137 = 5692076

Least Common Multiple of 884,799,274 with GCF Formula

Least Common Multiple of 884,799,274 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 884,799,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,799,274) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(884,799,274) x common factors =1 x 34 = 34

LCM(884,799,274) = ( 884 × 799 × 274 ) / 34

LCM(884,799,274) = 193530584 / 34

LCM(884,799,274) = 5692076


Lets's calculate GCF of 76,47,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5692076/1

Therefore the LCM of Fractions 884/76,799/47,274/105 is 5692076

Greatest Common Factor of 76,47,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,47,105 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 76,47,105 . The biggest common factor number is the GCF number.
So the greatest common factor 76,47,105 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 884/76, 799/47, 274/105

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 884/76, 799/47, 274/105?

Answer: LCM of Numerators as per given numbers 884/76, 799/47, 274/105 is

LCM of Numerators i.e. for 884,799,274 is 5692076

GCF of denominators i.e. for 76,47,105 is 1.

Thus, LCM of Fractions is 5692076.Finally, LCM of Fractions for 884/76, 799/47, 274/105 is 5692076.