Least Common Multiple of 89/147, 59/428, 599/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/147, 59/428, 599/923 quickly i.e. 3145349 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/147, 59/428, 599/923 is 3145349.

LCM(89/147, 59/428, 599/923) = 3145349

LCM of 89/147, 59/428, 599/923

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 89/147,59/428,599/923

Given numbers are 89/147,59/428,599/923

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 89,59,599

Least Common Multiple of Numerators i.e. LCM of 89,59,599 is 3145349.

GCF of Denominators means GCF of 147,428,923 as per the given fractions.

GCF of 147,428,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,59,599

LCM of Fractions 89/147,59/428,599/923 is 3145349

Given numbers has no common factors except 1. So, there LCM is their product i.e 3145349

Least Common Multiple of 89,59,599 with GCF Formula

Least Common Multiple of 89,59,599 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 89,59,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,59,599) = 1

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

GCF(89,59,599) x common factors =1 x 1 = 1

LCM(89,59,599) = ( 89 × 59 × 599 ) / 1

LCM(89,59,599) = 3145349 / 1

LCM(89,59,599) = 3145349


Lets's calculate GCF of 147,428,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3145349/1

Therefore the LCM of Fractions 89/147,59/428,599/923 is 3145349

Greatest Common Factor of 147,428,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,428,923 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 147,428,923 . The biggest common factor number is the GCF number.
So the greatest common factor 147,428,923 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 89/147, 59/428, 599/923

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 89/147, 59/428, 599/923?

Answer: LCM of Numerators as per given numbers 89/147, 59/428, 599/923 is

LCM of Numerators i.e. for 89,59,599 is 3145349

GCF of denominators i.e. for 147,428,923 is 1.

Thus, LCM of Fractions is 3145349.Finally, LCM of Fractions for 89/147, 59/428, 599/923 is 3145349.