Least Common Multiple of 45/134, 74/473, 589/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 45/134, 74/473, 589/603 quickly i.e. 1961370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/134, 74/473, 589/603 is 1961370.

LCM(45/134, 74/473, 589/603) = 1961370

LCM of 45/134, 74/473, 589/603

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 45/134,74/473,589/603

Given numbers are 45/134,74/473,589/603

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 45,74,589

Least Common Multiple of Numerators i.e. LCM of 45,74,589 is 1961370.

GCF of Denominators means GCF of 134,473,603 as per the given fractions.

GCF of 134,473,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,74,589

LCM of Fractions 45/134,74/473,589/603 is 1961370

Given numbers has no common factors except 1. So, there LCM is their product i.e 1961370

Least Common Multiple of 45,74,589 with GCF Formula

Least Common Multiple of 45,74,589 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 45,74,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,74,589) = 1

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

GCF(45,74,589) x common factors =1 x 1 = 1

LCM(45,74,589) = ( 45 × 74 × 589 ) / 1

LCM(45,74,589) = 1961370 / 1

LCM(45,74,589) = 1961370


Lets's calculate GCF of 134,473,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1961370/1

Therefore the LCM of Fractions 45/134,74/473,589/603 is 1961370

Greatest Common Factor of 134,473,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,473,603 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 134,473,603 . The biggest common factor number is the GCF number.
So the greatest common factor 134,473,603 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 45/134, 74/473, 589/603

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 45/134, 74/473, 589/603?

Answer: LCM of Numerators as per given numbers 45/134, 74/473, 589/603 is

LCM of Numerators i.e. for 45,74,589 is 1961370

GCF of denominators i.e. for 134,473,603 is 1.

Thus, LCM of Fractions is 1961370.Finally, LCM of Fractions for 45/134, 74/473, 589/603 is 1961370.