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LCM of 406, 749, 562, 135

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


Find the LCM of 406, 749, 562, 135 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 406, 749, 562, 135. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 406,749,562,135

Given numbers are 406,749,562,135

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

The LCM of 406,749,562,135 is 1647972270.

Find LCM of 406,749,562,135 with Prime Factorization


2 406, 749, 562, 135
7 203, 749, 281, 135
29, 107, 281, 135

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

2 x 7 x 29 x 107 x 281 x 135 = 1647972270

Therefore, the lowest common multiple of 406,749,562,135 is 1647972270.

LCM Formula to Find Lowest Common Multiple of 406,749,562,135

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.

406 x 749 x 562 x 135 = 23071611780

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

749 : 1, 7, 107, 749

562 : 1, 2, 281, 562

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,749,562,135, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

749:7x 107

562:2x 281

135:3x 3x 3x 5

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 23071611780/(1x14)

LCM = 23071611780/14

LCM = 1647972270

Thus, we can understand that the LCM of 406,749,562,135 is 1647972270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 406, 749, 562, 135

1. What is the LCM of 406, 749, 562, 135?

Answer: LCM of 406, 749, 562, 135 is 1647972270.

2. How to calculate the LCM of 406, 749, 562, 135?

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 406, 749, 562, 135.

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}.