Least Common Multiple of 19/222, 700/747, 109/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/222, 700/747, 109/861 quickly i.e. 1449700/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/222, 700/747, 109/861 is 1449700/3.

LCM(19/222, 700/747, 109/861) = 1449700/3

LCM of 19/222, 700/747, 109/861

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 19/222,700/747,109/861

Given numbers are 19/222,700/747,109/861

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 19,700,109

Least Common Multiple of Numerators i.e. LCM of 19,700,109 is 1449700.

GCF of Denominators means GCF of 222,747,861 as per the given fractions.

GCF of 222,747,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,700,109

LCM of Fractions 19/222,700/747,109/861 is 1449700/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1449700

Least Common Multiple of 19,700,109 with GCF Formula

Least Common Multiple of 19,700,109 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 19,700,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,700,109) = 1

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

GCF(19,700,109) x common factors =1 x 1 = 1

LCM(19,700,109) = ( 19 × 700 × 109 ) / 1

LCM(19,700,109) = 1449700 / 1

LCM(19,700,109) = 1449700


Lets's calculate GCF of 222,747,861

3 222, 747, 861
74, 249, 287

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1449700/3

Therefore the LCM of Fractions 19/222,700/747,109/861 is 1449700/3

Greatest Common Factor of 222,747,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,747,861 By Matching Biggest Common Factor Method

Factors of 222

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

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

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 222,747,861 . The biggest common factor number is the GCF number.
So the greatest common factor 222,747,861 is 3.


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 19/222, 700/747, 109/861

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 19/222, 700/747, 109/861?

Answer: LCM of Numerators as per given numbers 19/222, 700/747, 109/861 is

LCM of Numerators i.e. for 19,700,109 is 1449700

GCF of denominators i.e. for 222,747,861 is 3.

Thus, LCM of Fractions is 1449700/3.Finally, LCM of Fractions for 19/222, 700/747, 109/861 is 1449700/3.