Least Common Multiple of 75/506, 4170/8274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/506, 4170/8274 quickly i.e. 10425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/506, 4170/8274 is 10425.

LCM(75/506, 4170/8274) = 10425

LCM of 75/506, 4170/8274

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 75/506,4170/8274

Given numbers are 75/506,4170/8274

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 75,4170

Least Common Multiple of Numerators i.e. LCM of 75,4170 is 20850.

GCF of Denominators means GCF of 506,8274 as per the given fractions.

GCF of 506,8274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,4170

LCM of Fractions 75/506,4170/8274 is 10425

3 75, 4170
5 25, 1390
5, 278

∴ So the LCM of the given numbers is 3 x 5 x 5 x 278 = 20850

Least Common Multiple of 75,4170 with GCF Formula

Least Common Multiple of 75,4170 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 75,4170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,4170) = 15

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

GCF(75,4170) x common factors =15 x 1 = 15

LCM(75,4170) = ( 75 × 4170 ) / 15

LCM(75,4170) = 312750 / 15

LCM(75,4170) = 20850


Lets's calculate GCF of 506,8274

2 506, 8274
253, 4137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20850/2

Therefore the LCM of Fractions 75/506,4170/8274 is 10425

Greatest Common Factor of 506,8274 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,8274 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 8274

List of positive integer factors of 8274 that divides 8274 without a remainder.

1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274

Greatest Common Factor

We found the factors 506,8274 . The biggest common factor number is the GCF number.
So the greatest common factor 506,8274 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 75/506, 4170/8274

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 75/506, 4170/8274?

Answer: LCM of Numerators as per given numbers 75/506, 4170/8274 is

LCM of Numerators i.e. for 75,4170 is 20850

GCF of denominators i.e. for 506,8274 is 2.

Thus, LCM of Fractions is 10425.Finally, LCM of Fractions for 75/506, 4170/8274 is 10425.