Least Common Multiple of 58/318, 667/116, 983/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/318, 667/116, 983/850 quickly i.e. 655661 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/318, 667/116, 983/850 is 655661.

LCM(58/318, 667/116, 983/850) = 655661

LCM of 58/318, 667/116, 983/850

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 58/318,667/116,983/850

Given numbers are 58/318,667/116,983/850

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 58,667,983

Least Common Multiple of Numerators i.e. LCM of 58,667,983 is 1311322.

GCF of Denominators means GCF of 318,116,850 as per the given fractions.

GCF of 318,116,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,667,983

LCM of Fractions 58/318,667/116,983/850 is 655661

29 58, 667, 983
2, 23, 983

∴ So the LCM of the given numbers is 29 x 2 x 23 x 983 = 1311322

Least Common Multiple of 58,667,983 with GCF Formula

Least Common Multiple of 58,667,983 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 58,667,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,667,983) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(58,667,983) x common factors =1 x 29 = 29

LCM(58,667,983) = ( 58 × 667 × 983 ) / 29

LCM(58,667,983) = 38028338 / 29

LCM(58,667,983) = 1311322


Lets's calculate GCF of 318,116,850

2 318, 116, 850
159, 58, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1311322/2

Therefore the LCM of Fractions 58/318,667/116,983/850 is 655661

Greatest Common Factor of 318,116,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,116,850 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 318,116,850 . The biggest common factor number is the GCF number.
So the greatest common factor 318,116,850 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 58/318, 667/116, 983/850

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 58/318, 667/116, 983/850?

Answer: LCM of Numerators as per given numbers 58/318, 667/116, 983/850 is

LCM of Numerators i.e. for 58,667,983 is 1311322

GCF of denominators i.e. for 318,116,850 is 2.

Thus, LCM of Fractions is 655661.Finally, LCM of Fractions for 58/318, 667/116, 983/850 is 655661.