Least Common Multiple of 65/58, 674/29, 781/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/58, 674/29, 781/942 quickly i.e. 34215610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/58, 674/29, 781/942 is 34215610.

LCM(65/58, 674/29, 781/942) = 34215610

LCM of 65/58, 674/29, 781/942

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 65/58,674/29,781/942

Given numbers are 65/58,674/29,781/942

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 65,674,781

Least Common Multiple of Numerators i.e. LCM of 65,674,781 is 34215610.

GCF of Denominators means GCF of 58,29,942 as per the given fractions.

GCF of 58,29,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,674,781

LCM of Fractions 65/58,674/29,781/942 is 34215610

Given numbers has no common factors except 1. So, there LCM is their product i.e 34215610

Least Common Multiple of 65,674,781 with GCF Formula

Least Common Multiple of 65,674,781 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 65,674,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,674,781) = 1

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

GCF(65,674,781) x common factors =1 x 1 = 1

LCM(65,674,781) = ( 65 × 674 × 781 ) / 1

LCM(65,674,781) = 34215610 / 1

LCM(65,674,781) = 34215610


Lets's calculate GCF of 58,29,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34215610/1

Therefore the LCM of Fractions 65/58,674/29,781/942 is 34215610

Greatest Common Factor of 58,29,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,29,942 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 58,29,942 . The biggest common factor number is the GCF number.
So the greatest common factor 58,29,942 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/58, 674/29, 781/942

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 65/58, 674/29, 781/942?

Answer: LCM of Numerators as per given numbers 65/58, 674/29, 781/942 is

LCM of Numerators i.e. for 65,674,781 is 34215610

GCF of denominators i.e. for 58,29,942 is 1.

Thus, LCM of Fractions is 34215610.Finally, LCM of Fractions for 65/58, 674/29, 781/942 is 34215610.