Least Common Multiple of 370/229, 770/423, 240/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 370/229, 770/423, 240/476 quickly i.e. 683760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 370/229, 770/423, 240/476 is 683760.

LCM(370/229, 770/423, 240/476) = 683760

LCM of 370/229, 770/423, 240/476

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 370/229,770/423,240/476

Given numbers are 370/229,770/423,240/476

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 370,770,240

Least Common Multiple of Numerators i.e. LCM of 370,770,240 is 683760.

GCF of Denominators means GCF of 229,423,476 as per the given fractions.

GCF of 229,423,476 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 370,770,240

LCM of Fractions 370/229,770/423,240/476 is 683760

2 370, 770, 240
5 185, 385, 120
37, 77, 24

∴ So the LCM of the given numbers is 2 x 5 x 37 x 77 x 24 = 683760

Least Common Multiple of 370,770,240 with GCF Formula

Least Common Multiple of 370,770,240 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 370,770,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,770,240) = 10

common factors(in case of two or more numbers have common factors) = 10

GCF(370,770,240) x common factors =10 x 10 = 100

LCM(370,770,240) = ( 370 × 770 × 240 ) / 100

LCM(370,770,240) = 68376000 / 100

LCM(370,770,240) = 683760


Lets's calculate GCF of 229,423,476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683760/1

Therefore the LCM of Fractions 370/229,770/423,240/476 is 683760

Greatest Common Factor of 229,423,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,423,476 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 229,423,476 . The biggest common factor number is the GCF number.
So the greatest common factor 229,423,476 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 370/229, 770/423, 240/476

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 370/229, 770/423, 240/476?

Answer: LCM of Numerators as per given numbers 370/229, 770/423, 240/476 is

LCM of Numerators i.e. for 370,770,240 is 683760

GCF of denominators i.e. for 229,423,476 is 1.

Thus, LCM of Fractions is 683760.Finally, LCM of Fractions for 370/229, 770/423, 240/476 is 683760.