Least Common Multiple of 58/314, 71/987, 967/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/314, 71/987, 967/599 quickly i.e. 3982106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/314, 71/987, 967/599 is 3982106.

LCM(58/314, 71/987, 967/599) = 3982106

LCM of 58/314, 71/987, 967/599

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 58/314,71/987,967/599

Given numbers are 58/314,71/987,967/599

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 58,71,967

Least Common Multiple of Numerators i.e. LCM of 58,71,967 is 3982106.

GCF of Denominators means GCF of 314,987,599 as per the given fractions.

GCF of 314,987,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,71,967

LCM of Fractions 58/314,71/987,967/599 is 3982106

Given numbers has no common factors except 1. So, there LCM is their product i.e 3982106

Least Common Multiple of 58,71,967 with GCF Formula

Least Common Multiple of 58,71,967 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 58,71,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,71,967) = 1

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

GCF(58,71,967) x common factors =1 x 1 = 1

LCM(58,71,967) = ( 58 × 71 × 967 ) / 1

LCM(58,71,967) = 3982106 / 1

LCM(58,71,967) = 3982106


Lets's calculate GCF of 314,987,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3982106/1

Therefore the LCM of Fractions 58/314,71/987,967/599 is 3982106

Greatest Common Factor of 314,987,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,987,599 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 314,987,599 . The biggest common factor number is the GCF number.
So the greatest common factor 314,987,599 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 58/314, 71/987, 967/599

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 58/314, 71/987, 967/599?

Answer: LCM of Numerators as per given numbers 58/314, 71/987, 967/599 is

LCM of Numerators i.e. for 58,71,967 is 3982106

GCF of denominators i.e. for 314,987,599 is 1.

Thus, LCM of Fractions is 3982106.Finally, LCM of Fractions for 58/314, 71/987, 967/599 is 3982106.