Least Common Multiple of 89/88, 80/40, 527/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/88, 80/40, 527/64 quickly i.e. 469030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/88, 80/40, 527/64 is 469030.

LCM(89/88, 80/40, 527/64) = 469030

LCM of 89/88, 80/40, 527/64

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 89/88,80/40,527/64

Given numbers are 89/88,80/40,527/64

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 89,80,527

Least Common Multiple of Numerators i.e. LCM of 89,80,527 is 3752240.

GCF of Denominators means GCF of 88,40,64 as per the given fractions.

GCF of 88,40,64 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,80,527

LCM of Fractions 89/88,80/40,527/64 is 469030

Given numbers has no common factors except 1. So, there LCM is their product i.e 3752240

Least Common Multiple of 89,80,527 with GCF Formula

Least Common Multiple of 89,80,527 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 89,80,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,80,527) = 1

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

GCF(89,80,527) x common factors =1 x 1 = 1

LCM(89,80,527) = ( 89 × 80 × 527 ) / 1

LCM(89,80,527) = 3752240 / 1

LCM(89,80,527) = 3752240


Lets's calculate GCF of 88,40,64

2 88, 40, 64
2 44, 20, 32
2 22, 10, 16
11, 5, 8

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3752240/8

Therefore the LCM of Fractions 89/88,80/40,527/64 is 469030

Greatest Common Factor of 88,40,64 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,40,64 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Greatest Common Factor

We found the factors 88,40,64 . The biggest common factor number is the GCF number.
So the greatest common factor 88,40,64 is 8.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 89/88, 80/40, 527/64

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 89/88, 80/40, 527/64?

Answer: LCM of Numerators as per given numbers 89/88, 80/40, 527/64 is

LCM of Numerators i.e. for 89,80,527 is 3752240

GCF of denominators i.e. for 88,40,64 is 8.

Thus, LCM of Fractions is 469030.Finally, LCM of Fractions for 89/88, 80/40, 527/64 is 469030.