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LCM of 898, 373, 767, 384

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


Find the LCM of 898, 373, 767, 384 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 898, 373, 767, 384. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,373,767,384

Given numbers are 898,373,767,384

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

The LCM of 898,373,767,384 is 49326665856.

Find LCM of 898,373,767,384 with Prime Factorization


2 898, 373, 767, 384
449, 373, 767, 192

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

2 x 449 x 373 x 767 x 192 = 49326665856

Therefore, the lowest common multiple of 898,373,767,384 is 49326665856.

LCM Formula to Find Lowest Common Multiple of 898,373,767,384

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.

898 x 373 x 767 x 384 = 98653331712

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.

898 : 1, 2, 449, 898

373 : 1, 373

767 : 1, 13, 59, 767

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,373,767,384, is 1.

Now, the common factors can be found like this.

898:2x 449

373:373

767:13x 59

384:2x 2x 2x 2x 2x 2x 2x 3

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

2 = 2

Therefore, the value for common factors is 2.

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 = 98653331712/(1x2)

LCM = 98653331712/2

LCM = 49326665856

Thus, we can understand that the LCM of 898,373,767,384 is 49326665856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 373, 767, 384

1. What is the LCM of 898, 373, 767, 384?

Answer: LCM of 898, 373, 767, 384 is 49326665856.

2. How to calculate the LCM of 898, 373, 767, 384?

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 898, 373, 767, 384.

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}.