Least Common Multiple of 342/767, 1777/1017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/767, 1777/1017 quickly i.e. 607734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/767, 1777/1017 is 607734.

LCM(342/767, 1777/1017) = 607734

LCM of 342/767, 1777/1017

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 342/767,1777/1017

Given numbers are 342/767,1777/1017

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 342,1777

Least Common Multiple of Numerators i.e. LCM of 342,1777 is 607734.

GCF of Denominators means GCF of 767,1017 as per the given fractions.

GCF of 767,1017 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,1777

LCM of Fractions 342/767,1777/1017 is 607734

Given numbers has no common factors except 1. So, there LCM is their product i.e 607734

Least Common Multiple of 342,1777 with GCF Formula

Least Common Multiple of 342,1777 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 342,1777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,1777) = 1

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

GCF(342,1777) x common factors =1 x 1 = 1

LCM(342,1777) = ( 342 × 1777 ) / 1

LCM(342,1777) = 607734 / 1

LCM(342,1777) = 607734


Lets's calculate GCF of 767,1017

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607734/1

Therefore the LCM of Fractions 342/767,1777/1017 is 607734

Greatest Common Factor of 767,1017 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,1017 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 1017

List of positive integer factors of 1017 that divides 1017 without a remainder.

1,3,9,113,339,1017

Greatest Common Factor

We found the factors 767,1017 . The biggest common factor number is the GCF number.
So the greatest common factor 767,1017 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 342/767, 1777/1017

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 342/767, 1777/1017?

Answer: LCM of Numerators as per given numbers 342/767, 1777/1017 is

LCM of Numerators i.e. for 342,1777 is 607734

GCF of denominators i.e. for 767,1017 is 1.

Thus, LCM of Fractions is 607734.Finally, LCM of Fractions for 342/767, 1777/1017 is 607734.