Least Common Multiple of 980/293, 2104/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/293, 2104/445 quickly i.e. 515480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/293, 2104/445 is 515480.

LCM(980/293, 2104/445) = 515480

LCM of 980/293, 2104/445

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 980/293,2104/445

Given numbers are 980/293,2104/445

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 980,2104

Least Common Multiple of Numerators i.e. LCM of 980,2104 is 515480.

GCF of Denominators means GCF of 293,445 as per the given fractions.

GCF of 293,445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,2104

LCM of Fractions 980/293,2104/445 is 515480

2 980, 2104
2 490, 1052
245, 526

∴ So the LCM of the given numbers is 2 x 2 x 245 x 526 = 515480

Least Common Multiple of 980,2104 with GCF Formula

Least Common Multiple of 980,2104 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 980,2104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,2104) = 4

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

GCF(980,2104) x common factors =4 x 1 = 4

LCM(980,2104) = ( 980 × 2104 ) / 4

LCM(980,2104) = 2061920 / 4

LCM(980,2104) = 515480


Lets's calculate GCF of 293,445

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 515480/1

Therefore the LCM of Fractions 980/293,2104/445 is 515480

Greatest Common Factor of 293,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,445 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 293,445 . The biggest common factor number is the GCF number.
So the greatest common factor 293,445 is 1.


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 980/293, 2104/445

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 980/293, 2104/445?

Answer: LCM of Numerators as per given numbers 980/293, 2104/445 is

LCM of Numerators i.e. for 980,2104 is 515480

GCF of denominators i.e. for 293,445 is 1.

Thus, LCM of Fractions is 515480.Finally, LCM of Fractions for 980/293, 2104/445 is 515480.