Least Common Multiple of 5480/441, 3080/3010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5480/441, 3080/3010 quickly i.e. 60280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5480/441, 3080/3010 is 60280.

LCM(5480/441, 3080/3010) = 60280

LCM of 5480/441, 3080/3010

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 5480/441,3080/3010

Given numbers are 5480/441,3080/3010

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 5480,3080

Least Common Multiple of Numerators i.e. LCM of 5480,3080 is 421960.

GCF of Denominators means GCF of 441,3010 as per the given fractions.

GCF of 441,3010 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5480,3080

LCM of Fractions 5480/441,3080/3010 is 60280

2 5480, 3080
2 2740, 1540
2 1370, 770
5 685, 385
137, 77

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 137 x 77 = 421960

Least Common Multiple of 5480,3080 with GCF Formula

Least Common Multiple of 5480,3080 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 5480,3080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5480,3080) = 40

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

GCF(5480,3080) x common factors =40 x 1 = 40

LCM(5480,3080) = ( 5480 × 3080 ) / 40

LCM(5480,3080) = 16878400 / 40

LCM(5480,3080) = 421960


Lets's calculate GCF of 441,3010

7 441, 3010
63, 430

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421960/7

Therefore the LCM of Fractions 5480/441,3080/3010 is 60280

Greatest Common Factor of 441,3010 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,3010 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 3010

List of positive integer factors of 3010 that divides 3010 without a remainder.

1,2,5,7,10,14,35,43,70,86,215,301,430,602,1505,3010

Greatest Common Factor

We found the factors 441,3010 . The biggest common factor number is the GCF number.
So the greatest common factor 441,3010 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5480/441, 3080/3010

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 5480/441, 3080/3010?

Answer: LCM of Numerators as per given numbers 5480/441, 3080/3010 is

LCM of Numerators i.e. for 5480,3080 is 421960

GCF of denominators i.e. for 441,3010 is 7.

Thus, LCM of Fractions is 60280.Finally, LCM of Fractions for 5480/441, 3080/3010 is 60280.