Given numbers are 760,201,960,299

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

The LCM of 760,201,960,299 is 365401920.

Find LCM of 760,201,960,299 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 19 x 67 x 8 x 299 = 365401920

Therefore, the lowest common multiple of 760,201,960,299 is 365401920.

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.

760 x 201 x 960 x 299 = 43848230400

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

201 : 1, 3, 67, 201

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,201,960,299, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

201:3x 67

960:2x 2x 2x 2x 2x 2x 3x 5

299:13x 23

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 43848230400/(1x120)

LCM = 43848230400/120

LCM = 365401920

Thus, we can understand that the LCM of 760,201,960,299 is 365401920.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 383, 828, 574, 521
• LCM of 113, 541, 719, 978
• LCM of 238, 407, 836, 972
• LCM of 869, 467, 735, 574
• LCM of 921, 280, 785, 665

1. What is the LCM of 760, 201, 960, 299?

Answer: LCM of 760, 201, 960, 299 is 365401920.

2. How to calculate the LCM of 760, 201, 960, 299?

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 760, 201, 960, 299.

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}.