Least Common Multiple of 59/777, 425/803, 825/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/777, 425/803, 825/508 quickly i.e. 827475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/777, 425/803, 825/508 is 827475.

LCM(59/777, 425/803, 825/508) = 827475

LCM of 59/777, 425/803, 825/508

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 59/777,425/803,825/508

Given numbers are 59/777,425/803,825/508

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 59,425,825

Least Common Multiple of Numerators i.e. LCM of 59,425,825 is 827475.

GCF of Denominators means GCF of 777,803,508 as per the given fractions.

GCF of 777,803,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,425,825

LCM of Fractions 59/777,425/803,825/508 is 827475

5 59, 425, 825
5 59, 85, 165
59, 17, 33

∴ So the LCM of the given numbers is 5 x 5 x 59 x 17 x 33 = 827475

Least Common Multiple of 59,425,825 with GCF Formula

Least Common Multiple of 59,425,825 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 59,425,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,425,825) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(59,425,825) x common factors =1 x 25 = 25

LCM(59,425,825) = ( 59 × 425 × 825 ) / 25

LCM(59,425,825) = 20686875 / 25

LCM(59,425,825) = 827475


Lets's calculate GCF of 777,803,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 827475/1

Therefore the LCM of Fractions 59/777,425/803,825/508 is 827475

Greatest Common Factor of 777,803,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,803,508 By Matching Biggest Common Factor Method

Factors of 777

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

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

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 777,803,508 . The biggest common factor number is the GCF number.
So the greatest common factor 777,803,508 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 59/777, 425/803, 825/508

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 59/777, 425/803, 825/508?

Answer: LCM of Numerators as per given numbers 59/777, 425/803, 825/508 is

LCM of Numerators i.e. for 59,425,825 is 827475

GCF of denominators i.e. for 777,803,508 is 1.

Thus, LCM of Fractions is 827475.Finally, LCM of Fractions for 59/777, 425/803, 825/508 is 827475.