Least Common Multiple of 55/324, 106/623, 643/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/324, 106/623, 643/914 quickly i.e. 3748690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/324, 106/623, 643/914 is 3748690.

LCM(55/324, 106/623, 643/914) = 3748690

LCM of 55/324, 106/623, 643/914

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 55/324,106/623,643/914

Given numbers are 55/324,106/623,643/914

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 55,106,643

Least Common Multiple of Numerators i.e. LCM of 55,106,643 is 3748690.

GCF of Denominators means GCF of 324,623,914 as per the given fractions.

GCF of 324,623,914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,106,643

LCM of Fractions 55/324,106/623,643/914 is 3748690

Given numbers has no common factors except 1. So, there LCM is their product i.e 3748690

Least Common Multiple of 55,106,643 with GCF Formula

Least Common Multiple of 55,106,643 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 55,106,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,106,643) = 1

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

GCF(55,106,643) x common factors =1 x 1 = 1

LCM(55,106,643) = ( 55 × 106 × 643 ) / 1

LCM(55,106,643) = 3748690 / 1

LCM(55,106,643) = 3748690


Lets's calculate GCF of 324,623,914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3748690/1

Therefore the LCM of Fractions 55/324,106/623,643/914 is 3748690

Greatest Common Factor of 324,623,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,623,914 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 324,623,914 . The biggest common factor number is the GCF number.
So the greatest common factor 324,623,914 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 55/324, 106/623, 643/914

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 55/324, 106/623, 643/914?

Answer: LCM of Numerators as per given numbers 55/324, 106/623, 643/914 is

LCM of Numerators i.e. for 55,106,643 is 3748690

GCF of denominators i.e. for 324,623,914 is 1.

Thus, LCM of Fractions is 3748690.Finally, LCM of Fractions for 55/324, 106/623, 643/914 is 3748690.