Least Common Multiple of 64/358, 545/849, 221/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/358, 545/849, 221/687 quickly i.e. 7708480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/358, 545/849, 221/687 is 7708480.

LCM(64/358, 545/849, 221/687) = 7708480

LCM of 64/358, 545/849, 221/687

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 64/358,545/849,221/687

Given numbers are 64/358,545/849,221/687

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 64,545,221

Least Common Multiple of Numerators i.e. LCM of 64,545,221 is 7708480.

GCF of Denominators means GCF of 358,849,687 as per the given fractions.

GCF of 358,849,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,545,221

LCM of Fractions 64/358,545/849,221/687 is 7708480

Given numbers has no common factors except 1. So, there LCM is their product i.e 7708480

Least Common Multiple of 64,545,221 with GCF Formula

Least Common Multiple of 64,545,221 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 64,545,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,545,221) = 1

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

GCF(64,545,221) x common factors =1 x 1 = 1

LCM(64,545,221) = ( 64 × 545 × 221 ) / 1

LCM(64,545,221) = 7708480 / 1

LCM(64,545,221) = 7708480


Lets's calculate GCF of 358,849,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7708480/1

Therefore the LCM of Fractions 64/358,545/849,221/687 is 7708480

Greatest Common Factor of 358,849,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,849,687 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 358,849,687 . The biggest common factor number is the GCF number.
So the greatest common factor 358,849,687 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 64/358, 545/849, 221/687

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 64/358, 545/849, 221/687?

Answer: LCM of Numerators as per given numbers 64/358, 545/849, 221/687 is

LCM of Numerators i.e. for 64,545,221 is 7708480

GCF of denominators i.e. for 358,849,687 is 1.

Thus, LCM of Fractions is 7708480.Finally, LCM of Fractions for 64/358, 545/849, 221/687 is 7708480.