Least Common Multiple of 64/786, 9627/7442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/786, 9627/7442 quickly i.e. 308064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/786, 9627/7442 is 308064.

LCM(64/786, 9627/7442) = 308064

LCM of 64/786, 9627/7442

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 64/786,9627/7442

Given numbers are 64/786,9627/7442

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 64,9627

Least Common Multiple of Numerators i.e. LCM of 64,9627 is 616128.

GCF of Denominators means GCF of 786,7442 as per the given fractions.

GCF of 786,7442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,9627

LCM of Fractions 64/786,9627/7442 is 308064

Given numbers has no common factors except 1. So, there LCM is their product i.e 616128

Least Common Multiple of 64,9627 with GCF Formula

Least Common Multiple of 64,9627 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 64,9627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,9627) = 1

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

GCF(64,9627) x common factors =1 x 1 = 1

LCM(64,9627) = ( 64 × 9627 ) / 1

LCM(64,9627) = 616128 / 1

LCM(64,9627) = 616128


Lets's calculate GCF of 786,7442

2 786, 7442
393, 3721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 616128/2

Therefore the LCM of Fractions 64/786,9627/7442 is 308064

Greatest Common Factor of 786,7442 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,7442 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 7442

List of positive integer factors of 7442 that divides 7442 without a remainder.

1,2,61,122,3721,7442

Greatest Common Factor

We found the factors 786,7442 . The biggest common factor number is the GCF number.
So the greatest common factor 786,7442 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 64/786, 9627/7442

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 64/786, 9627/7442?

Answer: LCM of Numerators as per given numbers 64/786, 9627/7442 is

LCM of Numerators i.e. for 64,9627 is 616128

GCF of denominators i.e. for 786,7442 is 2.

Thus, LCM of Fractions is 308064.Finally, LCM of Fractions for 64/786, 9627/7442 is 308064.