Least Common Multiple of 90/616, 576/896, 926/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/616, 576/896, 926/904 quickly i.e. 166680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/616, 576/896, 926/904 is 166680.

LCM(90/616, 576/896, 926/904) = 166680

LCM of 90/616, 576/896, 926/904

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 90/616,576/896,926/904

Given numbers are 90/616,576/896,926/904

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 90,576,926

Least Common Multiple of Numerators i.e. LCM of 90,576,926 is 1333440.

GCF of Denominators means GCF of 616,896,904 as per the given fractions.

GCF of 616,896,904 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,576,926

LCM of Fractions 90/616,576/896,926/904 is 166680

2 90, 576, 926
3 45, 288, 463
3 15, 96, 463
5, 32, 463

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 32 x 463 = 1333440

Least Common Multiple of 90,576,926 with GCF Formula

Least Common Multiple of 90,576,926 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 90,576,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,576,926) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(90,576,926) x common factors =2 x 18 = 36

LCM(90,576,926) = ( 90 × 576 × 926 ) / 36

LCM(90,576,926) = 48003840 / 36

LCM(90,576,926) = 1333440


Lets's calculate GCF of 616,896,904

2 616, 896, 904
2 308, 448, 452
2 154, 224, 226
77, 112, 113

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1333440/8

Therefore the LCM of Fractions 90/616,576/896,926/904 is 166680

Greatest Common Factor of 616,896,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,896,904 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 616,896,904 . The biggest common factor number is the GCF number.
So the greatest common factor 616,896,904 is 8.


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 90/616, 576/896, 926/904

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 90/616, 576/896, 926/904?

Answer: LCM of Numerators as per given numbers 90/616, 576/896, 926/904 is

LCM of Numerators i.e. for 90,576,926 is 1333440

GCF of denominators i.e. for 616,896,904 is 8.

Thus, LCM of Fractions is 166680.Finally, LCM of Fractions for 90/616, 576/896, 926/904 is 166680.