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LCM of 248, 392, 700, 506, 811

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


Find the LCM of 248, 392, 700, 506, 811 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 248, 392, 700, 506, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 248,392,700,506,811

Given numbers are 248,392,700,506,811

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

The LCM of 248,392,700,506,811 is 62334595400.

Find LCM of 248,392,700,506,811 with Prime Factorization


2 248, 392, 700, 506, 811
2 124, 196, 350, 253, 811
2 62, 98, 175, 253, 811
7 31, 49, 175, 253, 811
31, 7, 25, 253, 811

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

2 x 2 x 2 x 7 x 31 x 7 x 25 x 253 x 811 = 62334595400

Therefore, the lowest common multiple of 248,392,700,506,811 is 62334595400.

LCM Formula to Find Lowest Common Multiple of 248,392,700,506,811

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.

248 x 392 x 700 x 506 x 811 = 27925898739200

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

506 : 1, 2, 11, 22, 23, 46, 253, 506

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,392,700,506,811, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

392:2x 2x 2x 7x 7

700:2x 2x 5x 5x 7

506:2x 11x 23

811:811

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 2x 2x 2x 2x 7 = 448

Therefore, the value for common factors is 448.

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 = 27925898739200/(1x448)

LCM = 27925898739200/448

LCM = 62334595400

Thus, we can understand that the LCM of 248,392,700,506,811 is 62334595400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 248, 392, 700, 506, 811

1. What is the LCM of 248, 392, 700, 506, 811?

Answer: LCM of 248, 392, 700, 506, 811 is 62334595400.

2. How to calculate the LCM of 248, 392, 700, 506, 811?

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 248, 392, 700, 506, 811.

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}.