Least Common Multiple of 618/69, 663/14, 935/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/69, 663/14, 935/964 quickly i.e. 7511790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/69, 663/14, 935/964 is 7511790.

LCM(618/69, 663/14, 935/964) = 7511790

LCM of 618/69, 663/14, 935/964

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 618/69,663/14,935/964

Given numbers are 618/69,663/14,935/964

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 618,663,935

Least Common Multiple of Numerators i.e. LCM of 618,663,935 is 7511790.

GCF of Denominators means GCF of 69,14,964 as per the given fractions.

GCF of 69,14,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,663,935

LCM of Fractions 618/69,663/14,935/964 is 7511790

3 618, 663, 935
17 206, 221, 935
206, 13, 55

∴ So the LCM of the given numbers is 3 x 17 x 206 x 13 x 55 = 7511790

Least Common Multiple of 618,663,935 with GCF Formula

Least Common Multiple of 618,663,935 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 618,663,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,663,935) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(618,663,935) x common factors =1 x 51 = 51

LCM(618,663,935) = ( 618 × 663 × 935 ) / 51

LCM(618,663,935) = 383101290 / 51

LCM(618,663,935) = 7511790


Lets's calculate GCF of 69,14,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7511790/1

Therefore the LCM of Fractions 618/69,663/14,935/964 is 7511790

Greatest Common Factor of 69,14,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,14,964 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 69,14,964 . The biggest common factor number is the GCF number.
So the greatest common factor 69,14,964 is 1.


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 618/69, 663/14, 935/964

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 618/69, 663/14, 935/964?

Answer: LCM of Numerators as per given numbers 618/69, 663/14, 935/964 is

LCM of Numerators i.e. for 618,663,935 is 7511790

GCF of denominators i.e. for 69,14,964 is 1.

Thus, LCM of Fractions is 7511790.Finally, LCM of Fractions for 618/69, 663/14, 935/964 is 7511790.