Least Common Multiple of 69/560, 522/671, 152/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/560, 522/671, 152/328 quickly i.e. 912456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/560, 522/671, 152/328 is 912456.

LCM(69/560, 522/671, 152/328) = 912456

LCM of 69/560, 522/671, 152/328

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 69/560,522/671,152/328

Given numbers are 69/560,522/671,152/328

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 69,522,152

Least Common Multiple of Numerators i.e. LCM of 69,522,152 is 912456.

GCF of Denominators means GCF of 560,671,328 as per the given fractions.

GCF of 560,671,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,522,152

LCM of Fractions 69/560,522/671,152/328 is 912456

2 69, 522, 152
3 69, 261, 76
23, 87, 76

∴ So the LCM of the given numbers is 2 x 3 x 23 x 87 x 76 = 912456

Least Common Multiple of 69,522,152 with GCF Formula

Least Common Multiple of 69,522,152 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 69,522,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,522,152) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(69,522,152) x common factors =1 x 6 = 6

LCM(69,522,152) = ( 69 × 522 × 152 ) / 6

LCM(69,522,152) = 5474736 / 6

LCM(69,522,152) = 912456


Lets's calculate GCF of 560,671,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 912456/1

Therefore the LCM of Fractions 69/560,522/671,152/328 is 912456

Greatest Common Factor of 560,671,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,671,328 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 560,671,328 . The biggest common factor number is the GCF number.
So the greatest common factor 560,671,328 is 1.


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 69/560, 522/671, 152/328

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 69/560, 522/671, 152/328?

Answer: LCM of Numerators as per given numbers 69/560, 522/671, 152/328 is

LCM of Numerators i.e. for 69,522,152 is 912456

GCF of denominators i.e. for 560,671,328 is 1.

Thus, LCM of Fractions is 912456.Finally, LCM of Fractions for 69/560, 522/671, 152/328 is 912456.