Least Common Multiple of 699/67, 428/58, 179/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 699/67, 428/58, 179/76 quickly i.e. 53551788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/67, 428/58, 179/76 is 53551788.

LCM(699/67, 428/58, 179/76) = 53551788

LCM of 699/67, 428/58, 179/76

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 699/67,428/58,179/76

Given numbers are 699/67,428/58,179/76

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 699,428,179

Least Common Multiple of Numerators i.e. LCM of 699,428,179 is 53551788.

GCF of Denominators means GCF of 67,58,76 as per the given fractions.

GCF of 67,58,76 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,428,179

LCM of Fractions 699/67,428/58,179/76 is 53551788

Given numbers has no common factors except 1. So, there LCM is their product i.e 53551788

Least Common Multiple of 699,428,179 with GCF Formula

Least Common Multiple of 699,428,179 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 699,428,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,428,179) = 1

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

GCF(699,428,179) x common factors =1 x 1 = 1

LCM(699,428,179) = ( 699 × 428 × 179 ) / 1

LCM(699,428,179) = 53551788 / 1

LCM(699,428,179) = 53551788


Lets's calculate GCF of 67,58,76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53551788/1

Therefore the LCM of Fractions 699/67,428/58,179/76 is 53551788

Greatest Common Factor of 67,58,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,58,76 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 58

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

1,2,29,58

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 67,58,76 . The biggest common factor number is the GCF number.
So the greatest common factor 67,58,76 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 699/67, 428/58, 179/76

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 699/67, 428/58, 179/76?

Answer: LCM of Numerators as per given numbers 699/67, 428/58, 179/76 is

LCM of Numerators i.e. for 699,428,179 is 53551788

GCF of denominators i.e. for 67,58,76 is 1.

Thus, LCM of Fractions is 53551788.Finally, LCM of Fractions for 699/67, 428/58, 179/76 is 53551788.