Least Common Multiple of 17/97, 80/79, 41/37, 35/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/97, 80/79, 41/37, 35/137 quickly i.e. 390320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/97, 80/79, 41/37, 35/137 is 390320.

LCM(17/97, 80/79, 41/37, 35/137) = 390320

LCM of 17/97, 80/79, 41/37, 35/137

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 17/97,80/79,41/37,35/137

Given numbers are 17/97,80/79,41/37,35/137

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 17,80,41,35

Least Common Multiple of Numerators i.e. LCM of 17,80,41,35 is 390320.

GCF of Denominators means GCF of 97,79,37,137 as per the given fractions.

GCF of 97,79,37,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,80,41,35

LCM of Fractions 17/97,80/79,41/37,35/137 is 390320

5 17, 80, 41, 35
17, 16, 41, 7

∴ So the LCM of the given numbers is 5 x 17 x 16 x 41 x 7 = 390320

Least Common Multiple of 17,80,41,35 with GCF Formula

Least Common Multiple of 17,80,41,35 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 17,80,41,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,80,41,35) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(17,80,41,35) x common factors =1 x 5 = 5

LCM(17,80,41,35) = ( 17 × 80 × 41 × 35 ) / 5

LCM(17,80,41,35) = 1951600 / 5

LCM(17,80,41,35) = 390320


Lets's calculate GCF of 97,79,37,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390320/1

Therefore the LCM of Fractions 17/97,80/79,41/37,35/137 is 390320

Greatest Common Factor of 97,79,37,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,79,37,137 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 97,79,37,137 . The biggest common factor number is the GCF number.
So the greatest common factor 97,79,37,137 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 17/97, 80/79, 41/37, 35/137

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 17/97, 80/79, 41/37, 35/137?

Answer: LCM of Numerators as per given numbers 17/97, 80/79, 41/37, 35/137 is

LCM of Numerators i.e. for 17,80,41,35 is 390320

GCF of denominators i.e. for 97,79,37,137 is 1.

Thus, LCM of Fractions is 390320.Finally, LCM of Fractions for 17/97, 80/79, 41/37, 35/137 is 390320.