Least Common Multiple of 45/295, 17/155, 705/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/295, 17/155, 705/160 quickly i.e. 7191 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/295, 17/155, 705/160 is 7191.

LCM(45/295, 17/155, 705/160) = 7191

LCM of 45/295, 17/155, 705/160

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 45/295,17/155,705/160

Given numbers are 45/295,17/155,705/160

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 45,17,705

Least Common Multiple of Numerators i.e. LCM of 45,17,705 is 35955.

GCF of Denominators means GCF of 295,155,160 as per the given fractions.

GCF of 295,155,160 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,17,705

LCM of Fractions 45/295,17/155,705/160 is 7191

3 45, 17, 705
5 15, 17, 235
3, 17, 47

∴ So the LCM of the given numbers is 3 x 5 x 3 x 17 x 47 = 35955

Least Common Multiple of 45,17,705 with GCF Formula

Least Common Multiple of 45,17,705 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 45,17,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,17,705) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(45,17,705) x common factors =1 x 15 = 15

LCM(45,17,705) = ( 45 × 17 × 705 ) / 15

LCM(45,17,705) = 539325 / 15

LCM(45,17,705) = 35955


Lets's calculate GCF of 295,155,160

5 295, 155, 160
59, 31, 32

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35955/5

Therefore the LCM of Fractions 45/295,17/155,705/160 is 7191

Greatest Common Factor of 295,155,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,155,160 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 295,155,160 . The biggest common factor number is the GCF number.
So the greatest common factor 295,155,160 is 5.


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 45/295, 17/155, 705/160

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 45/295, 17/155, 705/160?

Answer: LCM of Numerators as per given numbers 45/295, 17/155, 705/160 is

LCM of Numerators i.e. for 45,17,705 is 35955

GCF of denominators i.e. for 295,155,160 is 5.

Thus, LCM of Fractions is 7191.Finally, LCM of Fractions for 45/295, 17/155, 705/160 is 7191.