Least Common Multiple of 61/765, 17/949, 817/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/765, 17/949, 817/649 quickly i.e. 847229 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/765, 17/949, 817/649 is 847229.

LCM(61/765, 17/949, 817/649) = 847229

LCM of 61/765, 17/949, 817/649

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 61/765,17/949,817/649

Given numbers are 61/765,17/949,817/649

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 61,17,817

Least Common Multiple of Numerators i.e. LCM of 61,17,817 is 847229.

GCF of Denominators means GCF of 765,949,649 as per the given fractions.

GCF of 765,949,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,17,817

LCM of Fractions 61/765,17/949,817/649 is 847229

Given numbers has no common factors except 1. So, there LCM is their product i.e 847229

Least Common Multiple of 61,17,817 with GCF Formula

Least Common Multiple of 61,17,817 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 61,17,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,17,817) = 1

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

GCF(61,17,817) x common factors =1 x 1 = 1

LCM(61,17,817) = ( 61 × 17 × 817 ) / 1

LCM(61,17,817) = 847229 / 1

LCM(61,17,817) = 847229


Lets's calculate GCF of 765,949,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 847229/1

Therefore the LCM of Fractions 61/765,17/949,817/649 is 847229

Greatest Common Factor of 765,949,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,949,649 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 765,949,649 . The biggest common factor number is the GCF number.
So the greatest common factor 765,949,649 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 61/765, 17/949, 817/649

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 61/765, 17/949, 817/649?

Answer: LCM of Numerators as per given numbers 61/765, 17/949, 817/649 is

LCM of Numerators i.e. for 61,17,817 is 847229

GCF of denominators i.e. for 765,949,649 is 1.

Thus, LCM of Fractions is 847229.Finally, LCM of Fractions for 61/765, 17/949, 817/649 is 847229.