Least Common Multiple of 222/798, 853/329, 618/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 222/798, 853/329, 618/374 quickly i.e. 19504698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/798, 853/329, 618/374 is 19504698.

LCM(222/798, 853/329, 618/374) = 19504698

LCM of 222/798, 853/329, 618/374

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 222/798,853/329,618/374

Given numbers are 222/798,853/329,618/374

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 222,853,618

Least Common Multiple of Numerators i.e. LCM of 222,853,618 is 19504698.

GCF of Denominators means GCF of 798,329,374 as per the given fractions.

GCF of 798,329,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,853,618

LCM of Fractions 222/798,853/329,618/374 is 19504698

2 222, 853, 618
3 111, 853, 309
37, 853, 103

∴ So the LCM of the given numbers is 2 x 3 x 37 x 853 x 103 = 19504698

Least Common Multiple of 222,853,618 with GCF Formula

Least Common Multiple of 222,853,618 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 222,853,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,853,618) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(222,853,618) x common factors =1 x 6 = 6

LCM(222,853,618) = ( 222 × 853 × 618 ) / 6

LCM(222,853,618) = 117028188 / 6

LCM(222,853,618) = 19504698


Lets's calculate GCF of 798,329,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19504698/1

Therefore the LCM of Fractions 222/798,853/329,618/374 is 19504698

Greatest Common Factor of 798,329,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,329,374 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 798,329,374 . The biggest common factor number is the GCF number.
So the greatest common factor 798,329,374 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 222/798, 853/329, 618/374

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 222/798, 853/329, 618/374?

Answer: LCM of Numerators as per given numbers 222/798, 853/329, 618/374 is

LCM of Numerators i.e. for 222,853,618 is 19504698

GCF of denominators i.e. for 798,329,374 is 1.

Thus, LCM of Fractions is 19504698.Finally, LCM of Fractions for 222/798, 853/329, 618/374 is 19504698.