Least Common Multiple of 88/480, 286/209, 152/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/480, 286/209, 152/890 quickly i.e. 21736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/480, 286/209, 152/890 is 21736.

LCM(88/480, 286/209, 152/890) = 21736

LCM of 88/480, 286/209, 152/890

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 88/480,286/209,152/890

Given numbers are 88/480,286/209,152/890

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 88,286,152

Least Common Multiple of Numerators i.e. LCM of 88,286,152 is 21736.

GCF of Denominators means GCF of 480,209,890 as per the given fractions.

GCF of 480,209,890 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,286,152

LCM of Fractions 88/480,286/209,152/890 is 21736

2 88, 286, 152
2 44, 143, 76
2 22, 143, 38
11 11, 143, 19
1, 13, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 1 x 13 x 19 = 21736

Least Common Multiple of 88,286,152 with GCF Formula

Least Common Multiple of 88,286,152 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 88,286,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,286,152) = 2

common factors(in case of two or more numbers have common factors) = 88

GCF(88,286,152) x common factors =2 x 88 = 176

LCM(88,286,152) = ( 88 × 286 × 152 ) / 176

LCM(88,286,152) = 3825536 / 176

LCM(88,286,152) = 21736


Lets's calculate GCF of 480,209,890

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21736/1

Therefore the LCM of Fractions 88/480,286/209,152/890 is 21736

Greatest Common Factor of 480,209,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,209,890 By Matching Biggest Common Factor Method

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

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 480,209,890 . The biggest common factor number is the GCF number.
So the greatest common factor 480,209,890 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 88/480, 286/209, 152/890

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 88/480, 286/209, 152/890?

Answer: LCM of Numerators as per given numbers 88/480, 286/209, 152/890 is

LCM of Numerators i.e. for 88,286,152 is 21736

GCF of denominators i.e. for 480,209,890 is 1.

Thus, LCM of Fractions is 21736.Finally, LCM of Fractions for 88/480, 286/209, 152/890 is 21736.