Least Common Multiple of 601/59, 364/94, 185/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 601/59, 364/94, 185/345 quickly i.e. 40471340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 601/59, 364/94, 185/345 is 40471340.

LCM(601/59, 364/94, 185/345) = 40471340

LCM of 601/59, 364/94, 185/345

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 601/59,364/94,185/345

Given numbers are 601/59,364/94,185/345

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 601,364,185

Least Common Multiple of Numerators i.e. LCM of 601,364,185 is 40471340.

GCF of Denominators means GCF of 59,94,345 as per the given fractions.

GCF of 59,94,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 601,364,185

LCM of Fractions 601/59,364/94,185/345 is 40471340

Given numbers has no common factors except 1. So, there LCM is their product i.e 40471340

Least Common Multiple of 601,364,185 with GCF Formula

Least Common Multiple of 601,364,185 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 601,364,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,364,185) = 1

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

GCF(601,364,185) x common factors =1 x 1 = 1

LCM(601,364,185) = ( 601 × 364 × 185 ) / 1

LCM(601,364,185) = 40471340 / 1

LCM(601,364,185) = 40471340


Lets's calculate GCF of 59,94,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40471340/1

Therefore the LCM of Fractions 601/59,364/94,185/345 is 40471340

Greatest Common Factor of 59,94,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,94,345 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 59,94,345 . The biggest common factor number is the GCF number.
So the greatest common factor 59,94,345 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 601/59, 364/94, 185/345

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 601/59, 364/94, 185/345?

Answer: LCM of Numerators as per given numbers 601/59, 364/94, 185/345 is

LCM of Numerators i.e. for 601,364,185 is 40471340

GCF of denominators i.e. for 59,94,345 is 1.

Thus, LCM of Fractions is 40471340.Finally, LCM of Fractions for 601/59, 364/94, 185/345 is 40471340.