Least Common Multiple of 61/330, 226/465, 688/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/330, 226/465, 688/150 quickly i.e. 4742384/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/330, 226/465, 688/150 is 4742384/15.

LCM(61/330, 226/465, 688/150) = 4742384/15

LCM of 61/330, 226/465, 688/150

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 61/330,226/465,688/150

Given numbers are 61/330,226/465,688/150

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 61,226,688

Least Common Multiple of Numerators i.e. LCM of 61,226,688 is 4742384.

GCF of Denominators means GCF of 330,465,150 as per the given fractions.

GCF of 330,465,150 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,226,688

LCM of Fractions 61/330,226/465,688/150 is 4742384/15

2 61, 226, 688
61, 113, 344

∴ So the LCM of the given numbers is 2 x 61 x 113 x 344 = 4742384

Least Common Multiple of 61,226,688 with GCF Formula

Least Common Multiple of 61,226,688 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 61,226,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,226,688) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,226,688) x common factors =1 x 2 = 2

LCM(61,226,688) = ( 61 × 226 × 688 ) / 2

LCM(61,226,688) = 9484768 / 2

LCM(61,226,688) = 4742384


Lets's calculate GCF of 330,465,150

3 330, 465, 150
5 110, 155, 50
22, 31, 10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4742384/15

Therefore the LCM of Fractions 61/330,226/465,688/150 is 4742384/15

Greatest Common Factor of 330,465,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,465,150 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 330,465,150 . The biggest common factor number is the GCF number.
So the greatest common factor 330,465,150 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 61/330, 226/465, 688/150

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 61/330, 226/465, 688/150?

Answer: LCM of Numerators as per given numbers 61/330, 226/465, 688/150 is

LCM of Numerators i.e. for 61,226,688 is 4742384

GCF of denominators i.e. for 330,465,150 is 15.

Thus, LCM of Fractions is 4742384/15.Finally, LCM of Fractions for 61/330, 226/465, 688/150 is 4742384/15.