Least Common Multiple of 19/743, 240/377, 401/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/743, 240/377, 401/753 quickly i.e. 1828560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/743, 240/377, 401/753 is 1828560.

LCM(19/743, 240/377, 401/753) = 1828560

LCM of 19/743, 240/377, 401/753

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 19/743,240/377,401/753

Given numbers are 19/743,240/377,401/753

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 19,240,401

Least Common Multiple of Numerators i.e. LCM of 19,240,401 is 1828560.

GCF of Denominators means GCF of 743,377,753 as per the given fractions.

GCF of 743,377,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,240,401

LCM of Fractions 19/743,240/377,401/753 is 1828560

Given numbers has no common factors except 1. So, there LCM is their product i.e 1828560

Least Common Multiple of 19,240,401 with GCF Formula

Least Common Multiple of 19,240,401 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 19,240,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,240,401) = 1

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

GCF(19,240,401) x common factors =1 x 1 = 1

LCM(19,240,401) = ( 19 × 240 × 401 ) / 1

LCM(19,240,401) = 1828560 / 1

LCM(19,240,401) = 1828560


Lets's calculate GCF of 743,377,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1828560/1

Therefore the LCM of Fractions 19/743,240/377,401/753 is 1828560

Greatest Common Factor of 743,377,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,377,753 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 743,377,753 . The biggest common factor number is the GCF number.
So the greatest common factor 743,377,753 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 19/743, 240/377, 401/753

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 19/743, 240/377, 401/753?

Answer: LCM of Numerators as per given numbers 19/743, 240/377, 401/753 is

LCM of Numerators i.e. for 19,240,401 is 1828560

GCF of denominators i.e. for 743,377,753 is 1.

Thus, LCM of Fractions is 1828560.Finally, LCM of Fractions for 19/743, 240/377, 401/753 is 1828560.