Least Common Multiple of 46/630, 68/448, 455/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/630, 68/448, 455/865 quickly i.e. 711620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/630, 68/448, 455/865 is 711620.

LCM(46/630, 68/448, 455/865) = 711620

LCM of 46/630, 68/448, 455/865

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 46/630,68/448,455/865

Given numbers are 46/630,68/448,455/865

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 46,68,455

Least Common Multiple of Numerators i.e. LCM of 46,68,455 is 711620.

GCF of Denominators means GCF of 630,448,865 as per the given fractions.

GCF of 630,448,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,68,455

LCM of Fractions 46/630,68/448,455/865 is 711620

2 46, 68, 455
23, 34, 455

∴ So the LCM of the given numbers is 2 x 23 x 34 x 455 = 711620

Least Common Multiple of 46,68,455 with GCF Formula

Least Common Multiple of 46,68,455 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 46,68,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,68,455) = 1

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

GCF(46,68,455) x common factors =1 x 2 = 2

LCM(46,68,455) = ( 46 × 68 × 455 ) / 2

LCM(46,68,455) = 1423240 / 2

LCM(46,68,455) = 711620


Lets's calculate GCF of 630,448,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 711620/1

Therefore the LCM of Fractions 46/630,68/448,455/865 is 711620

Greatest Common Factor of 630,448,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,448,865 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 630,448,865 . The biggest common factor number is the GCF number.
So the greatest common factor 630,448,865 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/630, 68/448, 455/865

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 46/630, 68/448, 455/865?

Answer: LCM of Numerators as per given numbers 46/630, 68/448, 455/865 is

LCM of Numerators i.e. for 46,68,455 is 711620

GCF of denominators i.e. for 630,448,865 is 1.

Thus, LCM of Fractions is 711620.Finally, LCM of Fractions for 46/630, 68/448, 455/865 is 711620.