Least Common Multiple of 22/162, 74/890, 237/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/162, 74/890, 237/784 quickly i.e. 96459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/162, 74/890, 237/784 is 96459.

LCM(22/162, 74/890, 237/784) = 96459

LCM of 22/162, 74/890, 237/784

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 22/162,74/890,237/784

Given numbers are 22/162,74/890,237/784

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 22,74,237

Least Common Multiple of Numerators i.e. LCM of 22,74,237 is 192918.

GCF of Denominators means GCF of 162,890,784 as per the given fractions.

GCF of 162,890,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,74,237

LCM of Fractions 22/162,74/890,237/784 is 96459

2 22, 74, 237
11, 37, 237

∴ So the LCM of the given numbers is 2 x 11 x 37 x 237 = 192918

Least Common Multiple of 22,74,237 with GCF Formula

Least Common Multiple of 22,74,237 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 22,74,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,74,237) = 1

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

GCF(22,74,237) x common factors =1 x 2 = 2

LCM(22,74,237) = ( 22 × 74 × 237 ) / 2

LCM(22,74,237) = 385836 / 2

LCM(22,74,237) = 192918


Lets's calculate GCF of 162,890,784

2 162, 890, 784
81, 445, 392

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192918/2

Therefore the LCM of Fractions 22/162,74/890,237/784 is 96459

Greatest Common Factor of 162,890,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,890,784 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 162,890,784 . The biggest common factor number is the GCF number.
So the greatest common factor 162,890,784 is 2.


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 22/162, 74/890, 237/784

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 22/162, 74/890, 237/784?

Answer: LCM of Numerators as per given numbers 22/162, 74/890, 237/784 is

LCM of Numerators i.e. for 22,74,237 is 192918

GCF of denominators i.e. for 162,890,784 is 2.

Thus, LCM of Fractions is 96459.Finally, LCM of Fractions for 22/162, 74/890, 237/784 is 96459.