Least Common Multiple of 969/73, 426/26, 612/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/73, 426/26, 612/925 quickly i.e. 825588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/73, 426/26, 612/925 is 825588.

LCM(969/73, 426/26, 612/925) = 825588

LCM of 969/73, 426/26, 612/925

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 969/73,426/26,612/925

Given numbers are 969/73,426/26,612/925

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 969,426,612

Least Common Multiple of Numerators i.e. LCM of 969,426,612 is 825588.

GCF of Denominators means GCF of 73,26,925 as per the given fractions.

GCF of 73,26,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,426,612

LCM of Fractions 969/73,426/26,612/925 is 825588

2 969, 426, 612
3 969, 213, 306
17 323, 71, 102
19, 71, 6

∴ So the LCM of the given numbers is 2 x 3 x 17 x 19 x 71 x 6 = 825588

Least Common Multiple of 969,426,612 with GCF Formula

Least Common Multiple of 969,426,612 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 969,426,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,426,612) = 3

common factors(in case of two or more numbers have common factors) = 102

GCF(969,426,612) x common factors =3 x 102 = 306

LCM(969,426,612) = ( 969 × 426 × 612 ) / 306

LCM(969,426,612) = 252629928 / 306

LCM(969,426,612) = 825588


Lets's calculate GCF of 73,26,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 825588/1

Therefore the LCM of Fractions 969/73,426/26,612/925 is 825588

Greatest Common Factor of 73,26,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,26,925 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 73,26,925 . The biggest common factor number is the GCF number.
So the greatest common factor 73,26,925 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 969/73, 426/26, 612/925

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 969/73, 426/26, 612/925?

Answer: LCM of Numerators as per given numbers 969/73, 426/26, 612/925 is

LCM of Numerators i.e. for 969,426,612 is 825588

GCF of denominators i.e. for 73,26,925 is 1.

Thus, LCM of Fractions is 825588.Finally, LCM of Fractions for 969/73, 426/26, 612/925 is 825588.