Given numbers are 776,540,824,974

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

The LCM of 776,540,824,974 is 5254866360.

Find LCM of 776,540,824,974 with Prime Factorization

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

2 x 2 x 2 x 97 x 135 x 103 x 487 = 5254866360

Therefore, the lowest common multiple of 776,540,824,974 is 5254866360.

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.

776 x 540 x 824 x 974 = 336311447040

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.

776 : 1, 2, 4, 8, 97, 194, 388, 776

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,540,824,974, is 2.

Now, the common factors can be found like this.

776:2x 2x 2x 97

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

824:2x 2x 2x 103

974:2x 487

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 2 = 32

Therefore, the value for common factors is 32.

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 = 336311447040/(2x32)

LCM = 336311447040/64

LCM = 5254866360

Thus, we can understand that the LCM of 776,540,824,974 is 5254866360.

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

• LCM of 734, 827, 283, 981
• LCM of 313, 569, 881, 795
• LCM of 666, 423, 156, 260
• LCM of 371, 502, 146, 482
• LCM of 599, 998, 271, 933

1. What is the LCM of 776, 540, 824, 974?

Answer: LCM of 776, 540, 824, 974 is 5254866360.

2. How to calculate the LCM of 776, 540, 824, 974?

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 776, 540, 824, 974.

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}.