Least Common Multiple of 80/98, 667/87, 719/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/98, 667/87, 719/735 quickly i.e. 38365840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/98, 667/87, 719/735 is 38365840.

LCM(80/98, 667/87, 719/735) = 38365840

LCM of 80/98, 667/87, 719/735

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 80/98,667/87,719/735

Given numbers are 80/98,667/87,719/735

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 80,667,719

Least Common Multiple of Numerators i.e. LCM of 80,667,719 is 38365840.

GCF of Denominators means GCF of 98,87,735 as per the given fractions.

GCF of 98,87,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,667,719

LCM of Fractions 80/98,667/87,719/735 is 38365840

Given numbers has no common factors except 1. So, there LCM is their product i.e 38365840

Least Common Multiple of 80,667,719 with GCF Formula

Least Common Multiple of 80,667,719 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 80,667,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,667,719) = 1

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

GCF(80,667,719) x common factors =1 x 1 = 1

LCM(80,667,719) = ( 80 × 667 × 719 ) / 1

LCM(80,667,719) = 38365840 / 1

LCM(80,667,719) = 38365840


Lets's calculate GCF of 98,87,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38365840/1

Therefore the LCM of Fractions 80/98,667/87,719/735 is 38365840

Greatest Common Factor of 98,87,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,87,735 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 98,87,735 . The biggest common factor number is the GCF number.
So the greatest common factor 98,87,735 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 80/98, 667/87, 719/735

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 80/98, 667/87, 719/735?

Answer: LCM of Numerators as per given numbers 80/98, 667/87, 719/735 is

LCM of Numerators i.e. for 80,667,719 is 38365840

GCF of denominators i.e. for 98,87,735 is 1.

Thus, LCM of Fractions is 38365840.Finally, LCM of Fractions for 80/98, 667/87, 719/735 is 38365840.