Least Common Multiple of 83/14, 83/58, 99/98, 951/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/14, 83/58, 99/98, 951/87 quickly i.e. 2604789 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/14, 83/58, 99/98, 951/87 is 2604789.

LCM(83/14, 83/58, 99/98, 951/87) = 2604789

LCM of 83/14, 83/58, 99/98, 951/87

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 83/14,83/58,99/98,951/87

Given numbers are 83/14,83/58,99/98,951/87

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 83,83,99,951

Least Common Multiple of Numerators i.e. LCM of 83,83,99,951 is 2604789.

GCF of Denominators means GCF of 14,58,98,87 as per the given fractions.

GCF of 14,58,98,87 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,83,99,951

LCM of Fractions 83/14,83/58,99/98,951/87 is 2604789

3 83, 83, 99, 951
83 83, 83, 33, 317
1, 1, 33, 317

∴ So the LCM of the given numbers is 3 x 83 x 1 x 1 x 33 x 317 = 2604789

Least Common Multiple of 83,83,99,951 with GCF Formula

Least Common Multiple of 83,83,99,951 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 83,83,99,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,83,99,951) = 1

common factors(in case of two or more numbers have common factors) = 249

GCF(83,83,99,951) x common factors =1 x 249 = 249

LCM(83,83,99,951) = ( 83 × 83 × 99 × 951 ) / 249

LCM(83,83,99,951) = 648592461 / 249

LCM(83,83,99,951) = 2604789


Lets's calculate GCF of 14,58,98,87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2604789/1

Therefore the LCM of Fractions 83/14,83/58,99/98,951/87 is 2604789

Greatest Common Factor of 14,58,98,87 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,58,98,87 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 58

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

1,2,29,58

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

Greatest Common Factor

We found the factors 14,58,98,87 . The biggest common factor number is the GCF number.
So the greatest common factor 14,58,98,87 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 83/14, 83/58, 99/98, 951/87

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 83/14, 83/58, 99/98, 951/87?

Answer: LCM of Numerators as per given numbers 83/14, 83/58, 99/98, 951/87 is

LCM of Numerators i.e. for 83,83,99,951 is 2604789

GCF of denominators i.e. for 14,58,98,87 is 1.

Thus, LCM of Fractions is 2604789.Finally, LCM of Fractions for 83/14, 83/58, 99/98, 951/87 is 2604789.