Least Common Multiple of 16/835, 392/307, 748/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/835, 392/307, 748/604 quickly i.e. 146608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/835, 392/307, 748/604 is 146608.

LCM(16/835, 392/307, 748/604) = 146608

LCM of 16/835, 392/307, 748/604

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 16/835,392/307,748/604

Given numbers are 16/835,392/307,748/604

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 16,392,748

Least Common Multiple of Numerators i.e. LCM of 16,392,748 is 146608.

GCF of Denominators means GCF of 835,307,604 as per the given fractions.

GCF of 835,307,604 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,392,748

LCM of Fractions 16/835,392/307,748/604 is 146608

2 16, 392, 748
2 8, 196, 374
2 4, 98, 187
2, 49, 187

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 49 x 187 = 146608

Least Common Multiple of 16,392,748 with GCF Formula

Least Common Multiple of 16,392,748 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 16,392,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,392,748) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(16,392,748) x common factors =4 x 8 = 32

LCM(16,392,748) = ( 16 × 392 × 748 ) / 32

LCM(16,392,748) = 4691456 / 32

LCM(16,392,748) = 146608


Lets's calculate GCF of 835,307,604

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146608/1

Therefore the LCM of Fractions 16/835,392/307,748/604 is 146608

Greatest Common Factor of 835,307,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,307,604 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 835,307,604 . The biggest common factor number is the GCF number.
So the greatest common factor 835,307,604 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 16/835, 392/307, 748/604

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 16/835, 392/307, 748/604?

Answer: LCM of Numerators as per given numbers 16/835, 392/307, 748/604 is

LCM of Numerators i.e. for 16,392,748 is 146608

GCF of denominators i.e. for 835,307,604 is 1.

Thus, LCM of Fractions is 146608.Finally, LCM of Fractions for 16/835, 392/307, 748/604 is 146608.