Least Common Multiple of 309/417, 9771/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/417, 9771/695 quickly i.e. 1006413/139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/417, 9771/695 is 1006413/139.

LCM(309/417, 9771/695) = 1006413/139

LCM of 309/417, 9771/695

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 309/417,9771/695

Given numbers are 309/417,9771/695

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 309,9771

Least Common Multiple of Numerators i.e. LCM of 309,9771 is 1006413.

GCF of Denominators means GCF of 417,695 as per the given fractions.

GCF of 417,695 is 139 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,9771

LCM of Fractions 309/417,9771/695 is 1006413/139

3 309, 9771
103, 3257

∴ So the LCM of the given numbers is 3 x 103 x 3257 = 1006413

Least Common Multiple of 309,9771 with GCF Formula

Least Common Multiple of 309,9771 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 309,9771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,9771) = 3

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

GCF(309,9771) x common factors =3 x 1 = 3

LCM(309,9771) = ( 309 × 9771 ) / 3

LCM(309,9771) = 3019239 / 3

LCM(309,9771) = 1006413


Lets's calculate GCF of 417,695

139 417, 695
3, 5

∴ So the GCF of the given numbers is 139 = 139

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1006413/139

Therefore the LCM of Fractions 309/417,9771/695 is 1006413/139

Greatest Common Factor of 417,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,695 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 417,695 . The biggest common factor number is the GCF number.
So the greatest common factor 417,695 is 139.


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 309/417, 9771/695

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 309/417, 9771/695?

Answer: LCM of Numerators as per given numbers 309/417, 9771/695 is

LCM of Numerators i.e. for 309,9771 is 1006413

GCF of denominators i.e. for 417,695 is 139.

Thus, LCM of Fractions is 1006413/139.Finally, LCM of Fractions for 309/417, 9771/695 is 1006413/139.