Least Common Multiple of 60/11, 349/64, 966/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/11, 349/64, 966/815 quickly i.e. 3371340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/11, 349/64, 966/815 is 3371340.

LCM(60/11, 349/64, 966/815) = 3371340

LCM of 60/11, 349/64, 966/815

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 60/11,349/64,966/815

Given numbers are 60/11,349/64,966/815

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 60,349,966

Least Common Multiple of Numerators i.e. LCM of 60,349,966 is 3371340.

GCF of Denominators means GCF of 11,64,815 as per the given fractions.

GCF of 11,64,815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,349,966

LCM of Fractions 60/11,349/64,966/815 is 3371340

2 60, 349, 966
3 30, 349, 483
10, 349, 161

∴ So the LCM of the given numbers is 2 x 3 x 10 x 349 x 161 = 3371340

Least Common Multiple of 60,349,966 with GCF Formula

Least Common Multiple of 60,349,966 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 60,349,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,349,966) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,349,966) x common factors =1 x 6 = 6

LCM(60,349,966) = ( 60 × 349 × 966 ) / 6

LCM(60,349,966) = 20228040 / 6

LCM(60,349,966) = 3371340


Lets's calculate GCF of 11,64,815

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3371340/1

Therefore the LCM of Fractions 60/11,349/64,966/815 is 3371340

Greatest Common Factor of 11,64,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,64,815 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

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 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 11,64,815 . The biggest common factor number is the GCF number.
So the greatest common factor 11,64,815 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 60/11, 349/64, 966/815

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 60/11, 349/64, 966/815?

Answer: LCM of Numerators as per given numbers 60/11, 349/64, 966/815 is

LCM of Numerators i.e. for 60,349,966 is 3371340

GCF of denominators i.e. for 11,64,815 is 1.

Thus, LCM of Fractions is 3371340.Finally, LCM of Fractions for 60/11, 349/64, 966/815 is 3371340.