Least Common Multiple of 22/12, 875/97, 614/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/12, 875/97, 614/218 quickly i.e. 5909750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/12, 875/97, 614/218 is 5909750.

LCM(22/12, 875/97, 614/218) = 5909750

LCM of 22/12, 875/97, 614/218

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 22/12,875/97,614/218

Given numbers are 22/12,875/97,614/218

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 22,875,614

Least Common Multiple of Numerators i.e. LCM of 22,875,614 is 5909750.

GCF of Denominators means GCF of 12,97,218 as per the given fractions.

GCF of 12,97,218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,875,614

LCM of Fractions 22/12,875/97,614/218 is 5909750

2 22, 875, 614
11, 875, 307

∴ So the LCM of the given numbers is 2 x 11 x 875 x 307 = 5909750

Least Common Multiple of 22,875,614 with GCF Formula

Least Common Multiple of 22,875,614 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 22,875,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,875,614) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,875,614) x common factors =1 x 2 = 2

LCM(22,875,614) = ( 22 × 875 × 614 ) / 2

LCM(22,875,614) = 11819500 / 2

LCM(22,875,614) = 5909750


Lets's calculate GCF of 12,97,218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5909750/1

Therefore the LCM of Fractions 22/12,875/97,614/218 is 5909750

Greatest Common Factor of 12,97,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,97,218 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 12,97,218 . The biggest common factor number is the GCF number.
So the greatest common factor 12,97,218 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 22/12, 875/97, 614/218

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 22/12, 875/97, 614/218?

Answer: LCM of Numerators as per given numbers 22/12, 875/97, 614/218 is

LCM of Numerators i.e. for 22,875,614 is 5909750

GCF of denominators i.e. for 12,97,218 is 1.

Thus, LCM of Fractions is 5909750.Finally, LCM of Fractions for 22/12, 875/97, 614/218 is 5909750.