Least Common Multiple of 377/141, 417/668, 723/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/141, 417/668, 723/244 quickly i.e. 37887369 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/141, 417/668, 723/244 is 37887369.

LCM(377/141, 417/668, 723/244) = 37887369

LCM of 377/141, 417/668, 723/244

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 377/141,417/668,723/244

Given numbers are 377/141,417/668,723/244

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 377,417,723

Least Common Multiple of Numerators i.e. LCM of 377,417,723 is 37887369.

GCF of Denominators means GCF of 141,668,244 as per the given fractions.

GCF of 141,668,244 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,417,723

LCM of Fractions 377/141,417/668,723/244 is 37887369

3 377, 417, 723
377, 139, 241

∴ So the LCM of the given numbers is 3 x 377 x 139 x 241 = 37887369

Least Common Multiple of 377,417,723 with GCF Formula

Least Common Multiple of 377,417,723 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 377,417,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,417,723) = 1

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

GCF(377,417,723) x common factors =1 x 3 = 3

LCM(377,417,723) = ( 377 × 417 × 723 ) / 3

LCM(377,417,723) = 113662107 / 3

LCM(377,417,723) = 37887369


Lets's calculate GCF of 141,668,244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37887369/1

Therefore the LCM of Fractions 377/141,417/668,723/244 is 37887369

Greatest Common Factor of 141,668,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,668,244 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 141,668,244 . The biggest common factor number is the GCF number.
So the greatest common factor 141,668,244 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 377/141, 417/668, 723/244

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 377/141, 417/668, 723/244?

Answer: LCM of Numerators as per given numbers 377/141, 417/668, 723/244 is

LCM of Numerators i.e. for 377,417,723 is 37887369

GCF of denominators i.e. for 141,668,244 is 1.

Thus, LCM of Fractions is 37887369.Finally, LCM of Fractions for 377/141, 417/668, 723/244 is 37887369.