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LCM of 369, 252, 700, 648, 521

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


Find the LCM of 369, 252, 700, 648, 521 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 369, 252, 700, 648, 521. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 369,252,700,648,521

Given numbers are 369,252,700,648,521

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

The LCM of 369,252,700,648,521 is 2422337400.

Find LCM of 369,252,700,648,521 with Prime Factorization


2 369, 252, 700, 648, 521
2 369, 126, 350, 324, 521
3 369, 63, 175, 162, 521
3 123, 21, 175, 54, 521
7 41, 7, 175, 18, 521
41, 1, 25, 18, 521

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

2 x 2 x 3 x 3 x 7 x 41 x 1 x 25 x 18 x 521 = 2422337400

Therefore, the lowest common multiple of 369,252,700,648,521 is 2422337400.

LCM Formula to Find Lowest Common Multiple of 369,252,700,648,521

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.

369 x 252 x 700 x 648 x 521 = 21975444892800

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.

369 : 1, 3, 9, 41, 123, 369

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

521 : 1, 521

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,252,700,648,521, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

252:2x 2x 3x 3x 7

700:2x 2x 5x 5x 7

648:2x 2x 2x 3x 3x 3x 3

521:521

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 3x 3x 3x 3x 7 = 9072

Therefore, the value for common factors is 9072.

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 = 21975444892800/(1x9072)

LCM = 21975444892800/9072

LCM = 2422337400

Thus, we can understand that the LCM of 369,252,700,648,521 is 2422337400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 369, 252, 700, 648, 521

1. What is the LCM of 369, 252, 700, 648, 521?

Answer: LCM of 369, 252, 700, 648, 521 is 2422337400.

2. How to calculate the LCM of 369, 252, 700, 648, 521?

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 369, 252, 700, 648, 521.

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}.