Least Common Multiple of 5580/628, 8062/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5580/628, 8062/352 quickly i.e. 5623245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5580/628, 8062/352 is 5623245.

LCM(5580/628, 8062/352) = 5623245

LCM of 5580/628, 8062/352

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 5580/628,8062/352

Given numbers are 5580/628,8062/352

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 5580,8062

Least Common Multiple of Numerators i.e. LCM of 5580,8062 is 22492980.

GCF of Denominators means GCF of 628,352 as per the given fractions.

GCF of 628,352 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5580,8062

LCM of Fractions 5580/628,8062/352 is 5623245

2 5580, 8062
2790, 4031

∴ So the LCM of the given numbers is 2 x 2790 x 4031 = 22492980

Least Common Multiple of 5580,8062 with GCF Formula

Least Common Multiple of 5580,8062 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 5580,8062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5580,8062) = 2

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

GCF(5580,8062) x common factors =2 x 1 = 2

LCM(5580,8062) = ( 5580 × 8062 ) / 2

LCM(5580,8062) = 44985960 / 2

LCM(5580,8062) = 22492980


Lets's calculate GCF of 628,352

2 628, 352
2 314, 176
157, 88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22492980/4

Therefore the LCM of Fractions 5580/628,8062/352 is 5623245

Greatest Common Factor of 628,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,352 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 628,352 . The biggest common factor number is the GCF number.
So the greatest common factor 628,352 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5580/628, 8062/352

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 5580/628, 8062/352?

Answer: LCM of Numerators as per given numbers 5580/628, 8062/352 is

LCM of Numerators i.e. for 5580,8062 is 22492980

GCF of denominators i.e. for 628,352 is 4.

Thus, LCM of Fractions is 5623245.Finally, LCM of Fractions for 5580/628, 8062/352 is 5623245.