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LCM of 392, 562, 749, 638

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


Find the LCM of 392, 562, 749, 638 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 392, 562, 749, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 392,562,749,638

Given numbers are 392,562,749,638

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

The LCM of 392,562,749,638 is 3759818216.

Find LCM of 392,562,749,638 with Prime Factorization


2 392, 562, 749, 638
7 196, 281, 749, 319
28, 281, 107, 319

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

2 x 7 x 28 x 281 x 107 x 319 = 3759818216

Therefore, the lowest common multiple of 392,562,749,638 is 3759818216.

LCM Formula to Find Lowest Common Multiple of 392,562,749,638

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.

392 x 562 x 749 x 638 = 105274910048

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

562 : 1, 2, 281, 562

749 : 1, 7, 107, 749

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,562,749,638, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

562:2x 281

749:7x 107

638:2x 11x 29

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 7 = 28

Therefore, the value for common factors is 28.

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 = 105274910048/(1x28)

LCM = 105274910048/28

LCM = 3759818216

Thus, we can understand that the LCM of 392,562,749,638 is 3759818216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 392, 562, 749, 638

1. What is the LCM of 392, 562, 749, 638?

Answer: LCM of 392, 562, 749, 638 is 3759818216.

2. How to calculate the LCM of 392, 562, 749, 638?

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 392, 562, 749, 638.

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}.