Least Common Multiple of 10/345, 73/679, 271/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/345, 73/679, 271/980 quickly i.e. 197830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/345, 73/679, 271/980 is 197830.

LCM(10/345, 73/679, 271/980) = 197830

LCM of 10/345, 73/679, 271/980

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 10/345,73/679,271/980

Given numbers are 10/345,73/679,271/980

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 10,73,271

Least Common Multiple of Numerators i.e. LCM of 10,73,271 is 197830.

GCF of Denominators means GCF of 345,679,980 as per the given fractions.

GCF of 345,679,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,73,271

LCM of Fractions 10/345,73/679,271/980 is 197830

Given numbers has no common factors except 1. So, there LCM is their product i.e 197830

Least Common Multiple of 10,73,271 with GCF Formula

Least Common Multiple of 10,73,271 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 10,73,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,73,271) = 1

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

GCF(10,73,271) x common factors =1 x 1 = 1

LCM(10,73,271) = ( 10 × 73 × 271 ) / 1

LCM(10,73,271) = 197830 / 1

LCM(10,73,271) = 197830


Lets's calculate GCF of 345,679,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197830/1

Therefore the LCM of Fractions 10/345,73/679,271/980 is 197830

Greatest Common Factor of 345,679,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,679,980 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 345,679,980 . The biggest common factor number is the GCF number.
So the greatest common factor 345,679,980 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 10/345, 73/679, 271/980

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 10/345, 73/679, 271/980?

Answer: LCM of Numerators as per given numbers 10/345, 73/679, 271/980 is

LCM of Numerators i.e. for 10,73,271 is 197830

GCF of denominators i.e. for 345,679,980 is 1.

Thus, LCM of Fractions is 197830.Finally, LCM of Fractions for 10/345, 73/679, 271/980 is 197830.