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LCM of 435, 594, 231, 678

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


Find the LCM of 435, 594, 231, 678 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 435, 594, 231, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 435,594,231,678

Given numbers are 435,594,231,678

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

The LCM of 435,594,231,678 is 68128830.

Find LCM of 435,594,231,678 with Prime Factorization


2 435, 594, 231, 678
3 435, 297, 231, 339
11 145, 99, 77, 113
145, 9, 7, 113

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

2 x 3 x 11 x 145 x 9 x 7 x 113 = 68128830

Therefore, the lowest common multiple of 435,594,231,678 is 68128830.

LCM Formula to Find Lowest Common Multiple of 435,594,231,678

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.

435 x 594 x 231 x 678 = 40468525020

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

231 : 1, 3, 7, 11, 21, 33, 77, 231

678 : 1, 2, 3, 6, 113, 226, 339, 678

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,594,231,678, is 3.

Now, the common factors can be found like this.

435:3x 5x 29

594:2x 3x 3x 3x 11

231:3x 7x 11

678:2x 3x 113

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

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 40468525020/(3x198)

LCM = 40468525020/594

LCM = 68128830

Thus, we can understand that the LCM of 435,594,231,678 is 68128830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 435, 594, 231, 678

1. What is the LCM of 435, 594, 231, 678?

Answer: LCM of 435, 594, 231, 678 is 68128830.

2. How to calculate the LCM of 435, 594, 231, 678?

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 435, 594, 231, 678.

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}.