Least Common Multiple of 69/704, 153/446, 910/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/704, 153/446, 910/480 quickly i.e. 1601145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/704, 153/446, 910/480 is 1601145.

LCM(69/704, 153/446, 910/480) = 1601145

LCM of 69/704, 153/446, 910/480

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 69/704,153/446,910/480

Given numbers are 69/704,153/446,910/480

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 69,153,910

Least Common Multiple of Numerators i.e. LCM of 69,153,910 is 3202290.

GCF of Denominators means GCF of 704,446,480 as per the given fractions.

GCF of 704,446,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,153,910

LCM of Fractions 69/704,153/446,910/480 is 1601145

3 69, 153, 910
23, 51, 910

∴ So the LCM of the given numbers is 3 x 23 x 51 x 910 = 3202290

Least Common Multiple of 69,153,910 with GCF Formula

Least Common Multiple of 69,153,910 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 69,153,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,153,910) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,153,910) x common factors =1 x 3 = 3

LCM(69,153,910) = ( 69 × 153 × 910 ) / 3

LCM(69,153,910) = 9606870 / 3

LCM(69,153,910) = 3202290


Lets's calculate GCF of 704,446,480

2 704, 446, 480
352, 223, 240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3202290/2

Therefore the LCM of Fractions 69/704,153/446,910/480 is 1601145

Greatest Common Factor of 704,446,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,446,480 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 704,446,480 . The biggest common factor number is the GCF number.
So the greatest common factor 704,446,480 is 2.


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 69/704, 153/446, 910/480

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 69/704, 153/446, 910/480?

Answer: LCM of Numerators as per given numbers 69/704, 153/446, 910/480 is

LCM of Numerators i.e. for 69,153,910 is 3202290

GCF of denominators i.e. for 704,446,480 is 2.

Thus, LCM of Fractions is 1601145.Finally, LCM of Fractions for 69/704, 153/446, 910/480 is 1601145.