Least Common Multiple of 164/496, 428/347, 388/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/496, 428/347, 388/913 quickly i.e. 1702156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/496, 428/347, 388/913 is 1702156.

LCM(164/496, 428/347, 388/913) = 1702156

LCM of 164/496, 428/347, 388/913

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 164/496,428/347,388/913

Given numbers are 164/496,428/347,388/913

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 164,428,388

Least Common Multiple of Numerators i.e. LCM of 164,428,388 is 1702156.

GCF of Denominators means GCF of 496,347,913 as per the given fractions.

GCF of 496,347,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,428,388

LCM of Fractions 164/496,428/347,388/913 is 1702156

2 164, 428, 388
2 82, 214, 194
41, 107, 97

∴ So the LCM of the given numbers is 2 x 2 x 41 x 107 x 97 = 1702156

Least Common Multiple of 164,428,388 with GCF Formula

Least Common Multiple of 164,428,388 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 164,428,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,428,388) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(164,428,388) x common factors =4 x 4 = 16

LCM(164,428,388) = ( 164 × 428 × 388 ) / 16

LCM(164,428,388) = 27234496 / 16

LCM(164,428,388) = 1702156


Lets's calculate GCF of 496,347,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1702156/1

Therefore the LCM of Fractions 164/496,428/347,388/913 is 1702156

Greatest Common Factor of 496,347,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,347,913 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 496,347,913 . The biggest common factor number is the GCF number.
So the greatest common factor 496,347,913 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 164/496, 428/347, 388/913

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 164/496, 428/347, 388/913?

Answer: LCM of Numerators as per given numbers 164/496, 428/347, 388/913 is

LCM of Numerators i.e. for 164,428,388 is 1702156

GCF of denominators i.e. for 496,347,913 is 1.

Thus, LCM of Fractions is 1702156.Finally, LCM of Fractions for 164/496, 428/347, 388/913 is 1702156.