Least Common Multiple of 388/77, 756/84, 297/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 388/77, 756/84, 297/577 quickly i.e. 806652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/77, 756/84, 297/577 is 806652.

LCM(388/77, 756/84, 297/577) = 806652

LCM of 388/77, 756/84, 297/577

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 388/77,756/84,297/577

Given numbers are 388/77,756/84,297/577

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 388,756,297

Least Common Multiple of Numerators i.e. LCM of 388,756,297 is 806652.

GCF of Denominators means GCF of 77,84,577 as per the given fractions.

GCF of 77,84,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,756,297

LCM of Fractions 388/77,756/84,297/577 is 806652

2 388, 756, 297
2 194, 378, 297
3 97, 189, 297
3 97, 63, 99
3 97, 21, 33
97, 7, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 97 x 7 x 11 = 806652

Least Common Multiple of 388,756,297 with GCF Formula

Least Common Multiple of 388,756,297 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 388,756,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,756,297) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(388,756,297) x common factors =1 x 108 = 108

LCM(388,756,297) = ( 388 × 756 × 297 ) / 108

LCM(388,756,297) = 87118416 / 108

LCM(388,756,297) = 806652


Lets's calculate GCF of 77,84,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 806652/1

Therefore the LCM of Fractions 388/77,756/84,297/577 is 806652

Greatest Common Factor of 77,84,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,84,577 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 77,84,577 . The biggest common factor number is the GCF number.
So the greatest common factor 77,84,577 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 388/77, 756/84, 297/577

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 388/77, 756/84, 297/577?

Answer: LCM of Numerators as per given numbers 388/77, 756/84, 297/577 is

LCM of Numerators i.e. for 388,756,297 is 806652

GCF of denominators i.e. for 77,84,577 is 1.

Thus, LCM of Fractions is 806652.Finally, LCM of Fractions for 388/77, 756/84, 297/577 is 806652.