Least Common Multiple of 22/375, 417/222, 690/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/375, 417/222, 690/999 quickly i.e. 351670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/375, 417/222, 690/999 is 351670.

LCM(22/375, 417/222, 690/999) = 351670

LCM of 22/375, 417/222, 690/999

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 22/375,417/222,690/999

Given numbers are 22/375,417/222,690/999

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 22,417,690

Least Common Multiple of Numerators i.e. LCM of 22,417,690 is 1055010.

GCF of Denominators means GCF of 375,222,999 as per the given fractions.

GCF of 375,222,999 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,417,690

LCM of Fractions 22/375,417/222,690/999 is 351670

2 22, 417, 690
3 11, 417, 345
11, 139, 115

∴ So the LCM of the given numbers is 2 x 3 x 11 x 139 x 115 = 1055010

Least Common Multiple of 22,417,690 with GCF Formula

Least Common Multiple of 22,417,690 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 22,417,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,417,690) = 1

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

GCF(22,417,690) x common factors =1 x 6 = 6

LCM(22,417,690) = ( 22 × 417 × 690 ) / 6

LCM(22,417,690) = 6330060 / 6

LCM(22,417,690) = 1055010


Lets's calculate GCF of 375,222,999

3 375, 222, 999
125, 74, 333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1055010/3

Therefore the LCM of Fractions 22/375,417/222,690/999 is 351670

Greatest Common Factor of 375,222,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,222,999 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

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 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 375,222,999 . The biggest common factor number is the GCF number.
So the greatest common factor 375,222,999 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 22/375, 417/222, 690/999

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 22/375, 417/222, 690/999?

Answer: LCM of Numerators as per given numbers 22/375, 417/222, 690/999 is

LCM of Numerators i.e. for 22,417,690 is 1055010

GCF of denominators i.e. for 375,222,999 is 3.

Thus, LCM of Fractions is 351670.Finally, LCM of Fractions for 22/375, 417/222, 690/999 is 351670.