Least Common Multiple of 65/53, 974/86, 780/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/53, 974/86, 780/747 quickly i.e. 379860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/53, 974/86, 780/747 is 379860.

LCM(65/53, 974/86, 780/747) = 379860

LCM of 65/53, 974/86, 780/747

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 65/53,974/86,780/747

Given numbers are 65/53,974/86,780/747

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 65,974,780

Least Common Multiple of Numerators i.e. LCM of 65,974,780 is 379860.

GCF of Denominators means GCF of 53,86,747 as per the given fractions.

GCF of 53,86,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,974,780

LCM of Fractions 65/53,974/86,780/747 is 379860

2 65, 974, 780
5 65, 487, 390
13 13, 487, 78
1, 487, 6

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 487 x 6 = 379860

Least Common Multiple of 65,974,780 with GCF Formula

Least Common Multiple of 65,974,780 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 65,974,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,974,780) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(65,974,780) x common factors =1 x 130 = 130

LCM(65,974,780) = ( 65 × 974 × 780 ) / 130

LCM(65,974,780) = 49381800 / 130

LCM(65,974,780) = 379860


Lets's calculate GCF of 53,86,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 379860/1

Therefore the LCM of Fractions 65/53,974/86,780/747 is 379860

Greatest Common Factor of 53,86,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,86,747 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 53,86,747 . The biggest common factor number is the GCF number.
So the greatest common factor 53,86,747 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/53, 974/86, 780/747

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 65/53, 974/86, 780/747?

Answer: LCM of Numerators as per given numbers 65/53, 974/86, 780/747 is

LCM of Numerators i.e. for 65,974,780 is 379860

GCF of denominators i.e. for 53,86,747 is 1.

Thus, LCM of Fractions is 379860.Finally, LCM of Fractions for 65/53, 974/86, 780/747 is 379860.