LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 184, 646, 189, 762

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 184, 646, 189, 762 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 184, 646, 189, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 184,646,189,762

Given numbers are 184,646,189,762

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 184,646,189,762 is 1426546296.

Find LCM of 184,646,189,762 with Prime Factorization


2 184, 646, 189, 762
3 92, 323, 189, 381
92, 323, 63, 127

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 92 x 323 x 63 x 127 = 1426546296

Therefore, the lowest common multiple of 184,646,189,762 is 1426546296.

LCM Formula to Find Lowest Common Multiple of 184,646,189,762

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

184 x 646 x 189 x 762 = 17118555552

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

184 : 1, 2, 4, 8, 23, 46, 92, 184

646 : 1, 2, 17, 19, 34, 38, 323, 646

189 : 1, 3, 7, 9, 21, 27, 63, 189

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,646,189,762, is 1.

Now, the common factors can be found like this.

184:2x 2x 2x 23

646:2x 17x 19

189:3x 3x 3x 7

762:2x 3x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3 = 12

Therefore, the value for common factors is 12.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 17118555552/(1x12)

LCM = 17118555552/12

LCM = 1426546296

Thus, we can understand that the LCM of 184,646,189,762 is 1426546296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 184, 646, 189, 762

1. What is the LCM of 184, 646, 189, 762?

Answer: LCM of 184, 646, 189, 762 is 1426546296.

2. How to calculate the LCM of 184, 646, 189, 762?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 184, 646, 189, 762.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.