Least Common Multiple of 58/30, 14/88, 699/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/30, 14/88, 699/501 quickly i.e. 283794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/30, 14/88, 699/501 is 283794.

LCM(58/30, 14/88, 699/501) = 283794

LCM of 58/30, 14/88, 699/501

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 58/30,14/88,699/501

Given numbers are 58/30,14/88,699/501

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 58,14,699

Least Common Multiple of Numerators i.e. LCM of 58,14,699 is 283794.

GCF of Denominators means GCF of 30,88,501 as per the given fractions.

GCF of 30,88,501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,14,699

LCM of Fractions 58/30,14/88,699/501 is 283794

2 58, 14, 699
29, 7, 699

∴ So the LCM of the given numbers is 2 x 29 x 7 x 699 = 283794

Least Common Multiple of 58,14,699 with GCF Formula

Least Common Multiple of 58,14,699 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 58,14,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,14,699) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,14,699) x common factors =1 x 2 = 2

LCM(58,14,699) = ( 58 × 14 × 699 ) / 2

LCM(58,14,699) = 567588 / 2

LCM(58,14,699) = 283794


Lets's calculate GCF of 30,88,501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283794/1

Therefore the LCM of Fractions 58/30,14/88,699/501 is 283794

Greatest Common Factor of 30,88,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,88,501 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 30,88,501 . The biggest common factor number is the GCF number.
So the greatest common factor 30,88,501 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 58/30, 14/88, 699/501

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 58/30, 14/88, 699/501?

Answer: LCM of Numerators as per given numbers 58/30, 14/88, 699/501 is

LCM of Numerators i.e. for 58,14,699 is 283794

GCF of denominators i.e. for 30,88,501 is 1.

Thus, LCM of Fractions is 283794.Finally, LCM of Fractions for 58/30, 14/88, 699/501 is 283794.