Given numbers are 780,242,962,968

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

The LCM of 780,242,962,968 is 6984120.

Find LCM of 780,242,962,968 with Prime Factorization

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

2 x 2 x 11 x 11 x 13 x 15 x 1 x 37 x 2 = 6984120

Therefore, the lowest common multiple of 780,242,962,968 is 6984120.

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.

780 x 242 x 962 x 968 = 175776332160

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,242,962,968, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

242:2x 11x 11

962:2x 13x 37

968:2x 2x 2x 11x 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 11x 11x 13 = 12584

Therefore, the value for common factors is 12584.

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 = 175776332160/(2x12584)

LCM = 175776332160/25168

LCM = 6984120

Thus, we can understand that the LCM of 780,242,962,968 is 6984120.

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

• LCM of 964, 375, 782, 473
• LCM of 929, 189, 349, 788
• LCM of 290, 109, 235, 122
• LCM of 970, 472, 900, 799
• LCM of 606, 104, 208, 351

1. What is the LCM of 780, 242, 962, 968?

Answer: LCM of 780, 242, 962, 968 is 6984120.

2. How to calculate the LCM of 780, 242, 962, 968?

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 780, 242, 962, 968.

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}.