Given numbers are 756,267,586,968

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

The LCM of 756,267,586,968 is 4770839304.

Find LCM of 756,267,586,968 with Prime Factorization

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

2 x 2 x 3 x 63 x 89 x 293 x 242 = 4770839304

Therefore, the lowest common multiple of 756,267,586,968 is 4770839304.

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.

756 x 267 x 586 x 968 = 114500143296

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

267 : 1, 3, 89, 267

586 : 1, 2, 293, 586

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,267,586,968, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

267:3x 89

586:2x 293

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 3 = 24

Therefore, the value for common factors is 24.

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 = 114500143296/(1x24)

LCM = 114500143296/24

LCM = 4770839304

Thus, we can understand that the LCM of 756,267,586,968 is 4770839304.

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

• LCM of 839, 985, 789, 807
• LCM of 269, 457, 248, 369
• LCM of 763, 951, 952, 605
• LCM of 245, 843, 988, 989
• LCM of 750, 510, 139, 185

1. What is the LCM of 756, 267, 586, 968?

Answer: LCM of 756, 267, 586, 968 is 4770839304.

2. How to calculate the LCM of 756, 267, 586, 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 756, 267, 586, 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}.