Least Common Multiple of 315/195, 1760/3360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/195, 1760/3360 quickly i.e. 7392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/195, 1760/3360 is 7392.

LCM(315/195, 1760/3360) = 7392

LCM of 315/195, 1760/3360

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 315/195,1760/3360

Given numbers are 315/195,1760/3360

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 315,1760

Least Common Multiple of Numerators i.e. LCM of 315,1760 is 110880.

GCF of Denominators means GCF of 195,3360 as per the given fractions.

GCF of 195,3360 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,1760

LCM of Fractions 315/195,1760/3360 is 7392

5 315, 1760
63, 352

∴ So the LCM of the given numbers is 5 x 63 x 352 = 110880

Least Common Multiple of 315,1760 with GCF Formula

Least Common Multiple of 315,1760 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 315,1760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,1760) = 5

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

GCF(315,1760) x common factors =5 x 1 = 5

LCM(315,1760) = ( 315 × 1760 ) / 5

LCM(315,1760) = 554400 / 5

LCM(315,1760) = 110880


Lets's calculate GCF of 195,3360

3 195, 3360
5 65, 1120
13, 224

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110880/15

Therefore the LCM of Fractions 315/195,1760/3360 is 7392

Greatest Common Factor of 195,3360 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,3360 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 3360

List of positive integer factors of 3360 that divides 3360 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,70,80,84,96,105,112,120,140,160,168,210,224,240,280,336,420,480,560,672,840,1120,1680,3360

Greatest Common Factor

We found the factors 195,3360 . The biggest common factor number is the GCF number.
So the greatest common factor 195,3360 is 15.


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 315/195, 1760/3360

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 315/195, 1760/3360?

Answer: LCM of Numerators as per given numbers 315/195, 1760/3360 is

LCM of Numerators i.e. for 315,1760 is 110880

GCF of denominators i.e. for 195,3360 is 15.

Thus, LCM of Fractions is 7392.Finally, LCM of Fractions for 315/195, 1760/3360 is 7392.