Least Common Multiple of 634/705, 1488/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 634/705, 1488/470 quickly i.e. 471696/235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/705, 1488/470 is 471696/235.

LCM(634/705, 1488/470) = 471696/235

LCM of 634/705, 1488/470

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 634/705,1488/470

Given numbers are 634/705,1488/470

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 634,1488

Least Common Multiple of Numerators i.e. LCM of 634,1488 is 471696.

GCF of Denominators means GCF of 705,470 as per the given fractions.

GCF of 705,470 is 235 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,1488

LCM of Fractions 634/705,1488/470 is 471696/235

2 634, 1488
317, 744

∴ So the LCM of the given numbers is 2 x 317 x 744 = 471696

Least Common Multiple of 634,1488 with GCF Formula

Least Common Multiple of 634,1488 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 634,1488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,1488) = 2

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

GCF(634,1488) x common factors =2 x 1 = 2

LCM(634,1488) = ( 634 × 1488 ) / 2

LCM(634,1488) = 943392 / 2

LCM(634,1488) = 471696


Lets's calculate GCF of 705,470

5 705, 470
47 141, 94
3, 2

∴ So the GCF of the given numbers is 5 x 47 = 235

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 471696/235

Therefore the LCM of Fractions 634/705,1488/470 is 471696/235

Greatest Common Factor of 705,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,470 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 705,470 . The biggest common factor number is the GCF number.
So the greatest common factor 705,470 is 235.


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 634/705, 1488/470

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 634/705, 1488/470?

Answer: LCM of Numerators as per given numbers 634/705, 1488/470 is

LCM of Numerators i.e. for 634,1488 is 471696

GCF of denominators i.e. for 705,470 is 235.

Thus, LCM of Fractions is 471696/235.Finally, LCM of Fractions for 634/705, 1488/470 is 471696/235.