Least Common Multiple of 673/10, 470/74, 448/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 673/10, 470/74, 448/435 quickly i.e. 70853440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 673/10, 470/74, 448/435 is 70853440.

LCM(673/10, 470/74, 448/435) = 70853440

LCM of 673/10, 470/74, 448/435

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 673/10,470/74,448/435

Given numbers are 673/10,470/74,448/435

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 673,470,448

Least Common Multiple of Numerators i.e. LCM of 673,470,448 is 70853440.

GCF of Denominators means GCF of 10,74,435 as per the given fractions.

GCF of 10,74,435 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 673,470,448

LCM of Fractions 673/10,470/74,448/435 is 70853440

2 673, 470, 448
673, 235, 224

∴ So the LCM of the given numbers is 2 x 673 x 235 x 224 = 70853440

Least Common Multiple of 673,470,448 with GCF Formula

Least Common Multiple of 673,470,448 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 673,470,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,470,448) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(673,470,448) x common factors =1 x 2 = 2

LCM(673,470,448) = ( 673 × 470 × 448 ) / 2

LCM(673,470,448) = 141706880 / 2

LCM(673,470,448) = 70853440


Lets's calculate GCF of 10,74,435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70853440/1

Therefore the LCM of Fractions 673/10,470/74,448/435 is 70853440

Greatest Common Factor of 10,74,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,74,435 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 10,74,435 . The biggest common factor number is the GCF number.
So the greatest common factor 10,74,435 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 673/10, 470/74, 448/435

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 673/10, 470/74, 448/435?

Answer: LCM of Numerators as per given numbers 673/10, 470/74, 448/435 is

LCM of Numerators i.e. for 673,470,448 is 70853440

GCF of denominators i.e. for 10,74,435 is 1.

Thus, LCM of Fractions is 70853440.Finally, LCM of Fractions for 673/10, 470/74, 448/435 is 70853440.