Given numbers are 968,360,780,744

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

The LCM of 968,360,780,744 is 17554680.

Find LCM of 968,360,780,744 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 121 x 3 x 13 x 31 = 17554680

Therefore, the lowest common multiple of 968,360,780,744 is 17554680.

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.

968 x 360 x 780 x 744 = 202229913600

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.

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,360,780,744, is 4.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

360:2x 2x 2x 3x 3x 5

780:2x 2x 3x 5x 13

744:2x 2x 2x 3x 31

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 2x 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 202229913600/(4x2880)

LCM = 202229913600/11520

LCM = 17554680

Thus, we can understand that the LCM of 968,360,780,744 is 17554680.

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

• LCM of 114, 409, 421, 348
• LCM of 774, 119, 895, 117
• LCM of 775, 919, 444, 611
• LCM of 722, 929, 309, 887
• LCM of 450, 595, 678, 945

1. What is the LCM of 968, 360, 780, 744?

Answer: LCM of 968, 360, 780, 744 is 17554680.

2. How to calculate the LCM of 968, 360, 780, 744?

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 968, 360, 780, 744.

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}.