Least Common Multiple of 77/496, 961/820, 945/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/496, 961/820, 945/962 quickly i.e. 9989595/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/496, 961/820, 945/962 is 9989595/2.

LCM(77/496, 961/820, 945/962) = 9989595/2

LCM of 77/496, 961/820, 945/962

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 77/496,961/820,945/962

Given numbers are 77/496,961/820,945/962

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 77,961,945

Least Common Multiple of Numerators i.e. LCM of 77,961,945 is 9989595.

GCF of Denominators means GCF of 496,820,962 as per the given fractions.

GCF of 496,820,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,961,945

LCM of Fractions 77/496,961/820,945/962 is 9989595/2

7 77, 961, 945
11, 961, 135

∴ So the LCM of the given numbers is 7 x 11 x 961 x 135 = 9989595

Least Common Multiple of 77,961,945 with GCF Formula

Least Common Multiple of 77,961,945 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 77,961,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,961,945) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,961,945) x common factors =1 x 7 = 7

LCM(77,961,945) = ( 77 × 961 × 945 ) / 7

LCM(77,961,945) = 69927165 / 7

LCM(77,961,945) = 9989595


Lets's calculate GCF of 496,820,962

2 496, 820, 962
248, 410, 481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9989595/2

Therefore the LCM of Fractions 77/496,961/820,945/962 is 9989595/2

Greatest Common Factor of 496,820,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,820,962 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 496,820,962 . The biggest common factor number is the GCF number.
So the greatest common factor 496,820,962 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 77/496, 961/820, 945/962

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 77/496, 961/820, 945/962?

Answer: LCM of Numerators as per given numbers 77/496, 961/820, 945/962 is

LCM of Numerators i.e. for 77,961,945 is 9989595

GCF of denominators i.e. for 496,820,962 is 2.

Thus, LCM of Fractions is 9989595/2.Finally, LCM of Fractions for 77/496, 961/820, 945/962 is 9989595/2.