Least Common Multiple of 61/69, 457/16, 783/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/69, 457/16, 783/934 quickly i.e. 21827691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/69, 457/16, 783/934 is 21827691.

LCM(61/69, 457/16, 783/934) = 21827691

LCM of 61/69, 457/16, 783/934

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 61/69,457/16,783/934

Given numbers are 61/69,457/16,783/934

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 61,457,783

Least Common Multiple of Numerators i.e. LCM of 61,457,783 is 21827691.

GCF of Denominators means GCF of 69,16,934 as per the given fractions.

GCF of 69,16,934 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,457,783

LCM of Fractions 61/69,457/16,783/934 is 21827691

Given numbers has no common factors except 1. So, there LCM is their product i.e 21827691

Least Common Multiple of 61,457,783 with GCF Formula

Least Common Multiple of 61,457,783 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 61,457,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,457,783) = 1

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

GCF(61,457,783) x common factors =1 x 1 = 1

LCM(61,457,783) = ( 61 × 457 × 783 ) / 1

LCM(61,457,783) = 21827691 / 1

LCM(61,457,783) = 21827691


Lets's calculate GCF of 69,16,934

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21827691/1

Therefore the LCM of Fractions 61/69,457/16,783/934 is 21827691

Greatest Common Factor of 69,16,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,16,934 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 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 69,16,934 . The biggest common factor number is the GCF number.
So the greatest common factor 69,16,934 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 61/69, 457/16, 783/934

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 61/69, 457/16, 783/934?

Answer: LCM of Numerators as per given numbers 61/69, 457/16, 783/934 is

LCM of Numerators i.e. for 61,457,783 is 21827691

GCF of denominators i.e. for 69,16,934 is 1.

Thus, LCM of Fractions is 21827691.Finally, LCM of Fractions for 61/69, 457/16, 783/934 is 21827691.