Least Common Multiple of 370/484, 661/866, 431/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 370/484, 661/866, 431/335 quickly i.e. 105409670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 370/484, 661/866, 431/335 is 105409670.

LCM(370/484, 661/866, 431/335) = 105409670

LCM of 370/484, 661/866, 431/335

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 370/484,661/866,431/335

Given numbers are 370/484,661/866,431/335

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 370,661,431

Least Common Multiple of Numerators i.e. LCM of 370,661,431 is 105409670.

GCF of Denominators means GCF of 484,866,335 as per the given fractions.

GCF of 484,866,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 370,661,431

LCM of Fractions 370/484,661/866,431/335 is 105409670

Given numbers has no common factors except 1. So, there LCM is their product i.e 105409670

Least Common Multiple of 370,661,431 with GCF Formula

Least Common Multiple of 370,661,431 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 370,661,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,661,431) = 1

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

GCF(370,661,431) x common factors =1 x 1 = 1

LCM(370,661,431) = ( 370 × 661 × 431 ) / 1

LCM(370,661,431) = 105409670 / 1

LCM(370,661,431) = 105409670


Lets's calculate GCF of 484,866,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105409670/1

Therefore the LCM of Fractions 370/484,661/866,431/335 is 105409670

Greatest Common Factor of 484,866,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,866,335 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 484,866,335 . The biggest common factor number is the GCF number.
So the greatest common factor 484,866,335 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 370/484, 661/866, 431/335

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 370/484, 661/866, 431/335?

Answer: LCM of Numerators as per given numbers 370/484, 661/866, 431/335 is

LCM of Numerators i.e. for 370,661,431 is 105409670

GCF of denominators i.e. for 484,866,335 is 1.

Thus, LCM of Fractions is 105409670.Finally, LCM of Fractions for 370/484, 661/866, 431/335 is 105409670.