Least Common Multiple of 727/653, 993/610, 977/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/653, 993/610, 977/222 quickly i.e. 705307047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/653, 993/610, 977/222 is 705307047.

LCM(727/653, 993/610, 977/222) = 705307047

LCM of 727/653, 993/610, 977/222

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 727/653,993/610,977/222

Given numbers are 727/653,993/610,977/222

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 727,993,977

Least Common Multiple of Numerators i.e. LCM of 727,993,977 is 705307047.

GCF of Denominators means GCF of 653,610,222 as per the given fractions.

GCF of 653,610,222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,993,977

LCM of Fractions 727/653,993/610,977/222 is 705307047

Given numbers has no common factors except 1. So, there LCM is their product i.e 705307047

Least Common Multiple of 727,993,977 with GCF Formula

Least Common Multiple of 727,993,977 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 727,993,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,993,977) = 1

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

GCF(727,993,977) x common factors =1 x 1 = 1

LCM(727,993,977) = ( 727 × 993 × 977 ) / 1

LCM(727,993,977) = 705307047 / 1

LCM(727,993,977) = 705307047


Lets's calculate GCF of 653,610,222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 705307047/1

Therefore the LCM of Fractions 727/653,993/610,977/222 is 705307047

Greatest Common Factor of 653,610,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,610,222 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 653,610,222 . The biggest common factor number is the GCF number.
So the greatest common factor 653,610,222 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 727/653, 993/610, 977/222

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 727/653, 993/610, 977/222?

Answer: LCM of Numerators as per given numbers 727/653, 993/610, 977/222 is

LCM of Numerators i.e. for 727,993,977 is 705307047

GCF of denominators i.e. for 653,610,222 is 1.

Thus, LCM of Fractions is 705307047.Finally, LCM of Fractions for 727/653, 993/610, 977/222 is 705307047.