Least Common Multiple of 60/80, 348/47, 898/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/80, 348/47, 898/371 quickly i.e. 781260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/80, 348/47, 898/371 is 781260.

LCM(60/80, 348/47, 898/371) = 781260

LCM of 60/80, 348/47, 898/371

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 60/80,348/47,898/371

Given numbers are 60/80,348/47,898/371

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 60,348,898

Least Common Multiple of Numerators i.e. LCM of 60,348,898 is 781260.

GCF of Denominators means GCF of 80,47,371 as per the given fractions.

GCF of 80,47,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,348,898

LCM of Fractions 60/80,348/47,898/371 is 781260

2 60, 348, 898
2 30, 174, 449
3 15, 87, 449
5, 29, 449

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 29 x 449 = 781260

Least Common Multiple of 60,348,898 with GCF Formula

Least Common Multiple of 60,348,898 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 60,348,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,348,898) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(60,348,898) x common factors =2 x 12 = 24

LCM(60,348,898) = ( 60 × 348 × 898 ) / 24

LCM(60,348,898) = 18750240 / 24

LCM(60,348,898) = 781260


Lets's calculate GCF of 80,47,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 781260/1

Therefore the LCM of Fractions 60/80,348/47,898/371 is 781260

Greatest Common Factor of 80,47,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,47,371 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 80,47,371 . The biggest common factor number is the GCF number.
So the greatest common factor 80,47,371 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 60/80, 348/47, 898/371

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 60/80, 348/47, 898/371?

Answer: LCM of Numerators as per given numbers 60/80, 348/47, 898/371 is

LCM of Numerators i.e. for 60,348,898 is 781260

GCF of denominators i.e. for 80,47,371 is 1.

Thus, LCM of Fractions is 781260.Finally, LCM of Fractions for 60/80, 348/47, 898/371 is 781260.