Least Common Multiple of 45/80, 267/19, 506/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/80, 267/19, 506/719 quickly i.e. 2026530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/80, 267/19, 506/719 is 2026530.

LCM(45/80, 267/19, 506/719) = 2026530

LCM of 45/80, 267/19, 506/719

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 45/80,267/19,506/719

Given numbers are 45/80,267/19,506/719

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 45,267,506

Least Common Multiple of Numerators i.e. LCM of 45,267,506 is 2026530.

GCF of Denominators means GCF of 80,19,719 as per the given fractions.

GCF of 80,19,719 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,267,506

LCM of Fractions 45/80,267/19,506/719 is 2026530

3 45, 267, 506
15, 89, 506

∴ So the LCM of the given numbers is 3 x 15 x 89 x 506 = 2026530

Least Common Multiple of 45,267,506 with GCF Formula

Least Common Multiple of 45,267,506 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 45,267,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,267,506) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,267,506) x common factors =1 x 3 = 3

LCM(45,267,506) = ( 45 × 267 × 506 ) / 3

LCM(45,267,506) = 6079590 / 3

LCM(45,267,506) = 2026530


Lets's calculate GCF of 80,19,719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2026530/1

Therefore the LCM of Fractions 45/80,267/19,506/719 is 2026530

Greatest Common Factor of 80,19,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,19,719 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 80,19,719 . The biggest common factor number is the GCF number.
So the greatest common factor 80,19,719 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 45/80, 267/19, 506/719

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 45/80, 267/19, 506/719?

Answer: LCM of Numerators as per given numbers 45/80, 267/19, 506/719 is

LCM of Numerators i.e. for 45,267,506 is 2026530

GCF of denominators i.e. for 80,19,719 is 1.

Thus, LCM of Fractions is 2026530.Finally, LCM of Fractions for 45/80, 267/19, 506/719 is 2026530.