Least Common Multiple of 930/64, 416/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 930/64, 416/240 quickly i.e. 12090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 930/64, 416/240 is 12090.

LCM(930/64, 416/240) = 12090

LCM of 930/64, 416/240

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 930/64,416/240

Given numbers are 930/64,416/240

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 930,416

Least Common Multiple of Numerators i.e. LCM of 930,416 is 193440.

GCF of Denominators means GCF of 64,240 as per the given fractions.

GCF of 64,240 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 930,416

LCM of Fractions 930/64,416/240 is 12090

2 930, 416
465, 208

∴ So the LCM of the given numbers is 2 x 465 x 208 = 193440

Least Common Multiple of 930,416 with GCF Formula

Least Common Multiple of 930,416 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 930,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,416) = 2

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

GCF(930,416) x common factors =2 x 1 = 2

LCM(930,416) = ( 930 × 416 ) / 2

LCM(930,416) = 386880 / 2

LCM(930,416) = 193440


Lets's calculate GCF of 64,240

2 64, 240
2 32, 120
2 16, 60
2 8, 30
4, 15

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193440/16

Therefore the LCM of Fractions 930/64,416/240 is 12090

Greatest Common Factor of 64,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,240 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 64,240 . The biggest common factor number is the GCF number.
So the greatest common factor 64,240 is 16.


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 930/64, 416/240

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 930/64, 416/240?

Answer: LCM of Numerators as per given numbers 930/64, 416/240 is

LCM of Numerators i.e. for 930,416 is 193440

GCF of denominators i.e. for 64,240 is 16.

Thus, LCM of Fractions is 12090.Finally, LCM of Fractions for 930/64, 416/240 is 12090.