Least Common Multiple of 4712/174, 4921/5126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4712/174, 4921/5126 quickly i.e. 610204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4712/174, 4921/5126 is 610204.

LCM(4712/174, 4921/5126) = 610204

LCM of 4712/174, 4921/5126

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 4712/174,4921/5126

Given numbers are 4712/174,4921/5126

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 4712,4921

Least Common Multiple of Numerators i.e. LCM of 4712,4921 is 1220408.

GCF of Denominators means GCF of 174,5126 as per the given fractions.

GCF of 174,5126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4712,4921

LCM of Fractions 4712/174,4921/5126 is 610204

19 4712, 4921
248, 259

∴ So the LCM of the given numbers is 19 x 248 x 259 = 1220408

Least Common Multiple of 4712,4921 with GCF Formula

Least Common Multiple of 4712,4921 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 4712,4921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4712,4921) = 19

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

GCF(4712,4921) x common factors =19 x 1 = 19

LCM(4712,4921) = ( 4712 × 4921 ) / 19

LCM(4712,4921) = 23187752 / 19

LCM(4712,4921) = 1220408


Lets's calculate GCF of 174,5126

2 174, 5126
87, 2563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1220408/2

Therefore the LCM of Fractions 4712/174,4921/5126 is 610204

Greatest Common Factor of 174,5126 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,5126 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 5126

List of positive integer factors of 5126 that divides 5126 without a remainder.

1,2,11,22,233,466,2563,5126

Greatest Common Factor

We found the factors 174,5126 . The biggest common factor number is the GCF number.
So the greatest common factor 174,5126 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 4712/174, 4921/5126

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 4712/174, 4921/5126?

Answer: LCM of Numerators as per given numbers 4712/174, 4921/5126 is

LCM of Numerators i.e. for 4712,4921 is 1220408

GCF of denominators i.e. for 174,5126 is 2.

Thus, LCM of Fractions is 610204.Finally, LCM of Fractions for 4712/174, 4921/5126 is 610204.