Least Common Multiple of 7472/484, 1826/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7472/484, 1826/860 quickly i.e. 1705484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7472/484, 1826/860 is 1705484.

LCM(7472/484, 1826/860) = 1705484

LCM of 7472/484, 1826/860

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 7472/484,1826/860

Given numbers are 7472/484,1826/860

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 7472,1826

Least Common Multiple of Numerators i.e. LCM of 7472,1826 is 6821936.

GCF of Denominators means GCF of 484,860 as per the given fractions.

GCF of 484,860 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7472,1826

LCM of Fractions 7472/484,1826/860 is 1705484

2 7472, 1826
3736, 913

∴ So the LCM of the given numbers is 2 x 3736 x 913 = 6821936

Least Common Multiple of 7472,1826 with GCF Formula

Least Common Multiple of 7472,1826 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 7472,1826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7472,1826) = 2

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

GCF(7472,1826) x common factors =2 x 1 = 2

LCM(7472,1826) = ( 7472 × 1826 ) / 2

LCM(7472,1826) = 13643872 / 2

LCM(7472,1826) = 6821936


Lets's calculate GCF of 484,860

2 484, 860
2 242, 430
121, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6821936/4

Therefore the LCM of Fractions 7472/484,1826/860 is 1705484

Greatest Common Factor of 484,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,860 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 484,860 . The biggest common factor number is the GCF number.
So the greatest common factor 484,860 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 7472/484, 1826/860

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 7472/484, 1826/860?

Answer: LCM of Numerators as per given numbers 7472/484, 1826/860 is

LCM of Numerators i.e. for 7472,1826 is 6821936

GCF of denominators i.e. for 484,860 is 4.

Thus, LCM of Fractions is 1705484.Finally, LCM of Fractions for 7472/484, 1826/860 is 1705484.