Least Common Multiple of 470/670, 653/332, 347/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 470/670, 653/332, 347/442 quickly i.e. 53248885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/670, 653/332, 347/442 is 53248885.

LCM(470/670, 653/332, 347/442) = 53248885

LCM of 470/670, 653/332, 347/442

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 470/670,653/332,347/442

Given numbers are 470/670,653/332,347/442

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 470,653,347

Least Common Multiple of Numerators i.e. LCM of 470,653,347 is 106497770.

GCF of Denominators means GCF of 670,332,442 as per the given fractions.

GCF of 670,332,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,653,347

LCM of Fractions 470/670,653/332,347/442 is 53248885

Given numbers has no common factors except 1. So, there LCM is their product i.e 106497770

Least Common Multiple of 470,653,347 with GCF Formula

Least Common Multiple of 470,653,347 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 470,653,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,653,347) = 1

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

GCF(470,653,347) x common factors =1 x 1 = 1

LCM(470,653,347) = ( 470 × 653 × 347 ) / 1

LCM(470,653,347) = 106497770 / 1

LCM(470,653,347) = 106497770


Lets's calculate GCF of 670,332,442

2 670, 332, 442
335, 166, 221

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106497770/2

Therefore the LCM of Fractions 470/670,653/332,347/442 is 53248885

Greatest Common Factor of 670,332,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,332,442 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 670,332,442 . The biggest common factor number is the GCF number.
So the greatest common factor 670,332,442 is 2.


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 470/670, 653/332, 347/442

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 470/670, 653/332, 347/442?

Answer: LCM of Numerators as per given numbers 470/670, 653/332, 347/442 is

LCM of Numerators i.e. for 470,653,347 is 106497770

GCF of denominators i.e. for 670,332,442 is 2.

Thus, LCM of Fractions is 53248885.Finally, LCM of Fractions for 470/670, 653/332, 347/442 is 53248885.