Least Common Multiple of 9505/52, 3716/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9505/52, 3716/170 quickly i.e. 17660290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9505/52, 3716/170 is 17660290.

LCM(9505/52, 3716/170) = 17660290

LCM of 9505/52, 3716/170

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 9505/52,3716/170

Given numbers are 9505/52,3716/170

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 9505,3716

Least Common Multiple of Numerators i.e. LCM of 9505,3716 is 35320580.

GCF of Denominators means GCF of 52,170 as per the given fractions.

GCF of 52,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9505,3716

LCM of Fractions 9505/52,3716/170 is 17660290

Given numbers has no common factors except 1. So, there LCM is their product i.e 35320580

Least Common Multiple of 9505,3716 with GCF Formula

Least Common Multiple of 9505,3716 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 9505,3716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9505,3716) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(9505,3716) x common factors =1 x 1 = 1

LCM(9505,3716) = ( 9505 × 3716 ) / 1

LCM(9505,3716) = 35320580 / 1

LCM(9505,3716) = 35320580


Lets's calculate GCF of 52,170

2 52, 170
26, 85

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35320580/2

Therefore the LCM of Fractions 9505/52,3716/170 is 17660290

Greatest Common Factor of 52,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,170 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 52,170 . The biggest common factor number is the GCF number.
So the greatest common factor 52,170 is 2.


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 9505/52, 3716/170

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 9505/52, 3716/170?

Answer: LCM of Numerators as per given numbers 9505/52, 3716/170 is

LCM of Numerators i.e. for 9505,3716 is 35320580

GCF of denominators i.e. for 52,170 is 2.

Thus, LCM of Fractions is 17660290.Finally, LCM of Fractions for 9505/52, 3716/170 is 17660290.