Least Common Multiple of 306/121, 363/810, 395/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/121, 363/810, 395/776 quickly i.e. 14625270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/121, 363/810, 395/776 is 14625270.

LCM(306/121, 363/810, 395/776) = 14625270

LCM of 306/121, 363/810, 395/776

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 306/121,363/810,395/776

Given numbers are 306/121,363/810,395/776

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 306,363,395

Least Common Multiple of Numerators i.e. LCM of 306,363,395 is 14625270.

GCF of Denominators means GCF of 121,810,776 as per the given fractions.

GCF of 121,810,776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,363,395

LCM of Fractions 306/121,363/810,395/776 is 14625270

3 306, 363, 395
102, 121, 395

∴ So the LCM of the given numbers is 3 x 102 x 121 x 395 = 14625270

Least Common Multiple of 306,363,395 with GCF Formula

Least Common Multiple of 306,363,395 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 306,363,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,363,395) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(306,363,395) x common factors =1 x 3 = 3

LCM(306,363,395) = ( 306 × 363 × 395 ) / 3

LCM(306,363,395) = 43875810 / 3

LCM(306,363,395) = 14625270


Lets's calculate GCF of 121,810,776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14625270/1

Therefore the LCM of Fractions 306/121,363/810,395/776 is 14625270

Greatest Common Factor of 121,810,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,810,776 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 121,810,776 . The biggest common factor number is the GCF number.
So the greatest common factor 121,810,776 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 306/121, 363/810, 395/776

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 306/121, 363/810, 395/776?

Answer: LCM of Numerators as per given numbers 306/121, 363/810, 395/776 is

LCM of Numerators i.e. for 306,363,395 is 14625270

GCF of denominators i.e. for 121,810,776 is 1.

Thus, LCM of Fractions is 14625270.Finally, LCM of Fractions for 306/121, 363/810, 395/776 is 14625270.