Given numbers are 869,540,750,962

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

The LCM of 869,540,750,962 is 5642851500.

Find LCM of 869,540,750,962 with Prime Factorization

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

2 x 3 x 5 x 869 x 18 x 25 x 481 = 5642851500

Therefore, the lowest common multiple of 869,540,750,962 is 5642851500.

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.

869 x 540 x 750 x 962 = 338571090000

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.

869 : 1, 11, 79, 869

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,540,750,962, is 1.

Now, the common factors can be found like this.

869:11x 79

540:2x 2x 3x 3x 3x 5

750:2x 3x 5x 5x 5

962:2x 13x 37

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 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 338571090000/(1x60)

LCM = 338571090000/60

LCM = 5642851500

Thus, we can understand that the LCM of 869,540,750,962 is 5642851500.

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

• LCM of 766, 670, 693, 203
• LCM of 846, 247, 385, 385
• LCM of 523, 280, 251, 601
• LCM of 941, 465, 673, 243
• LCM of 216, 674, 893, 232

1. What is the LCM of 869, 540, 750, 962?

Answer: LCM of 869, 540, 750, 962 is 5642851500.

2. How to calculate the LCM of 869, 540, 750, 962?

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 869, 540, 750, 962.

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}.