Given numbers are 965,474,242,900,528

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

The LCM of 965,474,242,900,528 is 6641593200.

Find LCM of 965,474,242,900,528 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 193 x 79 x 11 x 15 x 4 = 6641593200

Therefore, the lowest common multiple of 965,474,242,900,528 is 6641593200.

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.

965 x 474 x 242 x 900 x 528 = 52601418144000

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.

965 : 1, 5, 193, 965

474 : 1, 2, 3, 6, 79, 158, 237, 474

242 : 1, 2, 11, 22, 121, 242

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,474,242,900,528, is 1.

Now, the common factors can be found like this.

965:5x 193

474:2x 3x 79

242:2x 11x 11

900:2x 2x 3x 3x 5x 5

528:2x 2x 2x 2x 3x 11

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 5x 11 = 7920

Therefore, the value for common factors is 7920.

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 = 52601418144000/(1x7920)

LCM = 52601418144000/7920

LCM = 6641593200

Thus, we can understand that the LCM of 965,474,242,900,528 is 6641593200.

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

• LCM of 470, 122, 877, 163, 659
• LCM of 297, 697, 764, 157, 144
• LCM of 653, 434, 297, 719, 278
• LCM of 963, 849, 197, 575, 724
• LCM of 333, 621, 960, 578, 128

1. What is the LCM of 965, 474, 242, 900, 528?

Answer: LCM of 965, 474, 242, 900, 528 is 6641593200.

2. How to calculate the LCM of 965, 474, 242, 900, 528?

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 965, 474, 242, 900, 528.

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}.