Given numbers are 768,928,203,761,357

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

The LCM of 768,928,203,761,357 is 2016930048.

Find LCM of 768,928,203,761,357 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 7 x 29 x 8 x 1 x 1 x 761 x 17 = 2016930048

Therefore, the lowest common multiple of 768,928,203,761,357 is 2016930048.

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.

768 x 928 x 203 x 761 x 357 = 39305932775424

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

203 : 1, 7, 29, 203

761 : 1, 761

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,928,203,761,357, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

928:2x 2x 2x 2x 2x 29

203:7x 29

761:761

357:3x 7x 17

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 3x 7x 29 = 19488

Therefore, the value for common factors is 19488.

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 = 39305932775424/(1x19488)

LCM = 39305932775424/19488

LCM = 2016930048

Thus, we can understand that the LCM of 768,928,203,761,357 is 2016930048.

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

• LCM of 157, 763, 168, 682, 105
• LCM of 991, 949, 835, 587, 741
• LCM of 824, 833, 933, 181, 526
• LCM of 423, 358, 900, 886, 246
• LCM of 370, 259, 327, 404, 590

1. What is the LCM of 768, 928, 203, 761, 357?

Answer: LCM of 768, 928, 203, 761, 357 is 2016930048.

2. How to calculate the LCM of 768, 928, 203, 761, 357?

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 768, 928, 203, 761, 357.

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}.