Least Common Multiple of 17/58, 314/78, 971/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/58, 314/78, 971/104 quickly i.e. 2591599 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/58, 314/78, 971/104 is 2591599.

LCM(17/58, 314/78, 971/104) = 2591599

LCM of 17/58, 314/78, 971/104

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 17/58,314/78,971/104

Given numbers are 17/58,314/78,971/104

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 17,314,971

Least Common Multiple of Numerators i.e. LCM of 17,314,971 is 5183198.

GCF of Denominators means GCF of 58,78,104 as per the given fractions.

GCF of 58,78,104 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,314,971

LCM of Fractions 17/58,314/78,971/104 is 2591599

Given numbers has no common factors except 1. So, there LCM is their product i.e 5183198

Least Common Multiple of 17,314,971 with GCF Formula

Least Common Multiple of 17,314,971 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 17,314,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,314,971) = 1

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

GCF(17,314,971) x common factors =1 x 1 = 1

LCM(17,314,971) = ( 17 × 314 × 971 ) / 1

LCM(17,314,971) = 5183198 / 1

LCM(17,314,971) = 5183198


Lets's calculate GCF of 58,78,104

2 58, 78, 104
29, 39, 52

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5183198/2

Therefore the LCM of Fractions 17/58,314/78,971/104 is 2591599

Greatest Common Factor of 58,78,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,78,104 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 58,78,104 . The biggest common factor number is the GCF number.
So the greatest common factor 58,78,104 is 2.


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 17/58, 314/78, 971/104

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 17/58, 314/78, 971/104?

Answer: LCM of Numerators as per given numbers 17/58, 314/78, 971/104 is

LCM of Numerators i.e. for 17,314,971 is 5183198

GCF of denominators i.e. for 58,78,104 is 2.

Thus, LCM of Fractions is 2591599.Finally, LCM of Fractions for 17/58, 314/78, 971/104 is 2591599.