Least Common Multiple of 88/45, 329/30, 551/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/45, 329/30, 551/135 quickly i.e. 15952552/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/45, 329/30, 551/135 is 15952552/15.

LCM(88/45, 329/30, 551/135) = 15952552/15

LCM of 88/45, 329/30, 551/135

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 88/45,329/30,551/135

Given numbers are 88/45,329/30,551/135

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 88,329,551

Least Common Multiple of Numerators i.e. LCM of 88,329,551 is 15952552.

GCF of Denominators means GCF of 45,30,135 as per the given fractions.

GCF of 45,30,135 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,329,551

LCM of Fractions 88/45,329/30,551/135 is 15952552/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 15952552

Least Common Multiple of 88,329,551 with GCF Formula

Least Common Multiple of 88,329,551 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 88,329,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,329,551) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(88,329,551) x common factors =1 x 1 = 1

LCM(88,329,551) = ( 88 × 329 × 551 ) / 1

LCM(88,329,551) = 15952552 / 1

LCM(88,329,551) = 15952552


Lets's calculate GCF of 45,30,135

3 45, 30, 135
5 15, 10, 45
3, 2, 9

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15952552/15

Therefore the LCM of Fractions 88/45,329/30,551/135 is 15952552/15

Greatest Common Factor of 45,30,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,30,135 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 45,30,135 . The biggest common factor number is the GCF number.
So the greatest common factor 45,30,135 is 15.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/45, 329/30, 551/135

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 88/45, 329/30, 551/135?

Answer: LCM of Numerators as per given numbers 88/45, 329/30, 551/135 is

LCM of Numerators i.e. for 88,329,551 is 15952552

GCF of denominators i.e. for 45,30,135 is 15.

Thus, LCM of Fractions is 15952552/15.Finally, LCM of Fractions for 88/45, 329/30, 551/135 is 15952552/15.