Least Common Multiple of 64/66, 88/85, 455/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/66, 88/85, 455/454 quickly i.e. 320320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/66, 88/85, 455/454 is 320320.

LCM(64/66, 88/85, 455/454) = 320320

LCM of 64/66, 88/85, 455/454

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 64/66,88/85,455/454

Given numbers are 64/66,88/85,455/454

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 64,88,455

Least Common Multiple of Numerators i.e. LCM of 64,88,455 is 320320.

GCF of Denominators means GCF of 66,85,454 as per the given fractions.

GCF of 66,85,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,88,455

LCM of Fractions 64/66,88/85,455/454 is 320320

2 64, 88, 455
2 32, 44, 455
2 16, 22, 455
8, 11, 455

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 11 x 455 = 320320

Least Common Multiple of 64,88,455 with GCF Formula

Least Common Multiple of 64,88,455 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 64,88,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,88,455) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(64,88,455) x common factors =1 x 8 = 8

LCM(64,88,455) = ( 64 × 88 × 455 ) / 8

LCM(64,88,455) = 2562560 / 8

LCM(64,88,455) = 320320


Lets's calculate GCF of 66,85,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320320/1

Therefore the LCM of Fractions 64/66,88/85,455/454 is 320320

Greatest Common Factor of 66,85,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,85,454 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 66,85,454 . The biggest common factor number is the GCF number.
So the greatest common factor 66,85,454 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/66, 88/85, 455/454

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 64/66, 88/85, 455/454?

Answer: LCM of Numerators as per given numbers 64/66, 88/85, 455/454 is

LCM of Numerators i.e. for 64,88,455 is 320320

GCF of denominators i.e. for 66,85,454 is 1.

Thus, LCM of Fractions is 320320.Finally, LCM of Fractions for 64/66, 88/85, 455/454 is 320320.