Least Common Multiple of 945/521, 410/682, 173/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 945/521, 410/682, 173/139 quickly i.e. 13405770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/521, 410/682, 173/139 is 13405770.

LCM(945/521, 410/682, 173/139) = 13405770

LCM of 945/521, 410/682, 173/139

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 945/521,410/682,173/139

Given numbers are 945/521,410/682,173/139

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 945,410,173

Least Common Multiple of Numerators i.e. LCM of 945,410,173 is 13405770.

GCF of Denominators means GCF of 521,682,139 as per the given fractions.

GCF of 521,682,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,410,173

LCM of Fractions 945/521,410/682,173/139 is 13405770

5 945, 410, 173
189, 82, 173

∴ So the LCM of the given numbers is 5 x 189 x 82 x 173 = 13405770

Least Common Multiple of 945,410,173 with GCF Formula

Least Common Multiple of 945,410,173 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 945,410,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,410,173) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(945,410,173) x common factors =1 x 5 = 5

LCM(945,410,173) = ( 945 × 410 × 173 ) / 5

LCM(945,410,173) = 67028850 / 5

LCM(945,410,173) = 13405770


Lets's calculate GCF of 521,682,139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13405770/1

Therefore the LCM of Fractions 945/521,410/682,173/139 is 13405770

Greatest Common Factor of 521,682,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,682,139 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 521,682,139 . The biggest common factor number is the GCF number.
So the greatest common factor 521,682,139 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 945/521, 410/682, 173/139

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 945/521, 410/682, 173/139?

Answer: LCM of Numerators as per given numbers 945/521, 410/682, 173/139 is

LCM of Numerators i.e. for 945,410,173 is 13405770

GCF of denominators i.e. for 521,682,139 is 1.

Thus, LCM of Fractions is 13405770.Finally, LCM of Fractions for 945/521, 410/682, 173/139 is 13405770.