Least Common Multiple of 740/377, 268/476, 289/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/377, 268/476, 289/297 quickly i.e. 14328620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/377, 268/476, 289/297 is 14328620.

LCM(740/377, 268/476, 289/297) = 14328620

LCM of 740/377, 268/476, 289/297

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 740/377,268/476,289/297

Given numbers are 740/377,268/476,289/297

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 740,268,289

Least Common Multiple of Numerators i.e. LCM of 740,268,289 is 14328620.

GCF of Denominators means GCF of 377,476,297 as per the given fractions.

GCF of 377,476,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,268,289

LCM of Fractions 740/377,268/476,289/297 is 14328620

2 740, 268, 289
2 370, 134, 289
185, 67, 289

∴ So the LCM of the given numbers is 2 x 2 x 185 x 67 x 289 = 14328620

Least Common Multiple of 740,268,289 with GCF Formula

Least Common Multiple of 740,268,289 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 740,268,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,268,289) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(740,268,289) x common factors =1 x 4 = 4

LCM(740,268,289) = ( 740 × 268 × 289 ) / 4

LCM(740,268,289) = 57314480 / 4

LCM(740,268,289) = 14328620


Lets's calculate GCF of 377,476,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14328620/1

Therefore the LCM of Fractions 740/377,268/476,289/297 is 14328620

Greatest Common Factor of 377,476,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,476,297 By Matching Biggest Common Factor Method

Factors of 377

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

1,13,29,377

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 377,476,297 . The biggest common factor number is the GCF number.
So the greatest common factor 377,476,297 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 740/377, 268/476, 289/297

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 740/377, 268/476, 289/297?

Answer: LCM of Numerators as per given numbers 740/377, 268/476, 289/297 is

LCM of Numerators i.e. for 740,268,289 is 14328620

GCF of denominators i.e. for 377,476,297 is 1.

Thus, LCM of Fractions is 14328620.Finally, LCM of Fractions for 740/377, 268/476, 289/297 is 14328620.