Least Common Multiple of 3/70, 32/284, 65/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/70, 32/284, 65/750 quickly i.e. 3120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/70, 32/284, 65/750 is 3120.

LCM(3/70, 32/284, 65/750) = 3120

LCM of 3/70, 32/284, 65/750

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 3/70,32/284,65/750

Given numbers are 3/70,32/284,65/750

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 3,32,65

Least Common Multiple of Numerators i.e. LCM of 3,32,65 is 6240.

GCF of Denominators means GCF of 70,284,750 as per the given fractions.

GCF of 70,284,750 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,32,65

LCM of Fractions 3/70,32/284,65/750 is 3120

Given numbers has no common factors except 1. So, there LCM is their product i.e 6240

Least Common Multiple of 3,32,65 with GCF Formula

Least Common Multiple of 3,32,65 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 3,32,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,32,65) = 1

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

GCF(3,32,65) x common factors =1 x 1 = 1

LCM(3,32,65) = ( 3 × 32 × 65 ) / 1

LCM(3,32,65) = 6240 / 1

LCM(3,32,65) = 6240


Lets's calculate GCF of 70,284,750

2 70, 284, 750
35, 142, 375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6240/2

Therefore the LCM of Fractions 3/70,32/284,65/750 is 3120

Greatest Common Factor of 70,284,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,284,750 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 70,284,750 . The biggest common factor number is the GCF number.
So the greatest common factor 70,284,750 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 3/70, 32/284, 65/750

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 3/70, 32/284, 65/750?

Answer: LCM of Numerators as per given numbers 3/70, 32/284, 65/750 is

LCM of Numerators i.e. for 3,32,65 is 6240

GCF of denominators i.e. for 70,284,750 is 2.

Thus, LCM of Fractions is 3120.Finally, LCM of Fractions for 3/70, 32/284, 65/750 is 3120.