Least Common Multiple of 424/76, 2905/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/76, 2905/176 quickly i.e. 307930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/76, 2905/176 is 307930.

LCM(424/76, 2905/176) = 307930

LCM of 424/76, 2905/176

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 424/76,2905/176

Given numbers are 424/76,2905/176

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 424,2905

Least Common Multiple of Numerators i.e. LCM of 424,2905 is 1231720.

GCF of Denominators means GCF of 76,176 as per the given fractions.

GCF of 76,176 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,2905

LCM of Fractions 424/76,2905/176 is 307930

Given numbers has no common factors except 1. So, there LCM is their product i.e 1231720

Least Common Multiple of 424,2905 with GCF Formula

Least Common Multiple of 424,2905 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 424,2905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,2905) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(424,2905) x common factors =1 x 1 = 1

LCM(424,2905) = ( 424 × 2905 ) / 1

LCM(424,2905) = 1231720 / 1

LCM(424,2905) = 1231720


Lets's calculate GCF of 76,176

2 76, 176
2 38, 88
19, 44

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1231720/4

Therefore the LCM of Fractions 424/76,2905/176 is 307930

Greatest Common Factor of 76,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,176 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 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 76,176 . The biggest common factor number is the GCF number.
So the greatest common factor 76,176 is 4.


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 424/76, 2905/176

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 424/76, 2905/176?

Answer: LCM of Numerators as per given numbers 424/76, 2905/176 is

LCM of Numerators i.e. for 424,2905 is 1231720

GCF of denominators i.e. for 76,176 is 4.

Thus, LCM of Fractions is 307930.Finally, LCM of Fractions for 424/76, 2905/176 is 307930.