Least Common Multiple of 76/593, 49/707, 200/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/593, 49/707, 200/777 quickly i.e. 186200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/593, 49/707, 200/777 is 186200.

LCM(76/593, 49/707, 200/777) = 186200

LCM of 76/593, 49/707, 200/777

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 76/593,49/707,200/777

Given numbers are 76/593,49/707,200/777

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 76,49,200

Least Common Multiple of Numerators i.e. LCM of 76,49,200 is 186200.

GCF of Denominators means GCF of 593,707,777 as per the given fractions.

GCF of 593,707,777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,49,200

LCM of Fractions 76/593,49/707,200/777 is 186200

2 76, 49, 200
2 38, 49, 100
19, 49, 50

∴ So the LCM of the given numbers is 2 x 2 x 19 x 49 x 50 = 186200

Least Common Multiple of 76,49,200 with GCF Formula

Least Common Multiple of 76,49,200 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 76,49,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,49,200) = 1

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

GCF(76,49,200) x common factors =1 x 4 = 4

LCM(76,49,200) = ( 76 × 49 × 200 ) / 4

LCM(76,49,200) = 744800 / 4

LCM(76,49,200) = 186200


Lets's calculate GCF of 593,707,777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186200/1

Therefore the LCM of Fractions 76/593,49/707,200/777 is 186200

Greatest Common Factor of 593,707,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,707,777 By Matching Biggest Common Factor Method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 593,707,777 . The biggest common factor number is the GCF number.
So the greatest common factor 593,707,777 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 76/593, 49/707, 200/777

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 76/593, 49/707, 200/777?

Answer: LCM of Numerators as per given numbers 76/593, 49/707, 200/777 is

LCM of Numerators i.e. for 76,49,200 is 186200

GCF of denominators i.e. for 593,707,777 is 1.

Thus, LCM of Fractions is 186200.Finally, LCM of Fractions for 76/593, 49/707, 200/777 is 186200.