Least Common Multiple of 89/648, 670/231, 445/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/648, 670/231, 445/496 quickly i.e. 59630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/648, 670/231, 445/496 is 59630.

LCM(89/648, 670/231, 445/496) = 59630

LCM of 89/648, 670/231, 445/496

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 89/648,670/231,445/496

Given numbers are 89/648,670/231,445/496

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 89,670,445

Least Common Multiple of Numerators i.e. LCM of 89,670,445 is 59630.

GCF of Denominators means GCF of 648,231,496 as per the given fractions.

GCF of 648,231,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,670,445

LCM of Fractions 89/648,670/231,445/496 is 59630

5 89, 670, 445
89 89, 134, 89
1, 134, 1

∴ So the LCM of the given numbers is 5 x 89 x 1 x 134 x 1 = 59630

Least Common Multiple of 89,670,445 with GCF Formula

Least Common Multiple of 89,670,445 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 89,670,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,670,445) = 1

common factors(in case of two or more numbers have common factors) = 445

GCF(89,670,445) x common factors =1 x 445 = 445

LCM(89,670,445) = ( 89 × 670 × 445 ) / 445

LCM(89,670,445) = 26535350 / 445

LCM(89,670,445) = 59630


Lets's calculate GCF of 648,231,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59630/1

Therefore the LCM of Fractions 89/648,670/231,445/496 is 59630

Greatest Common Factor of 648,231,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,231,496 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 648,231,496 . The biggest common factor number is the GCF number.
So the greatest common factor 648,231,496 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 89/648, 670/231, 445/496

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 89/648, 670/231, 445/496?

Answer: LCM of Numerators as per given numbers 89/648, 670/231, 445/496 is

LCM of Numerators i.e. for 89,670,445 is 59630

GCF of denominators i.e. for 648,231,496 is 1.

Thus, LCM of Fractions is 59630.Finally, LCM of Fractions for 89/648, 670/231, 445/496 is 59630.