Given numbers are 577,780,706,792

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

The LCM of 577,780,706,792 is 10485497880.

Find LCM of 577,780,706,792 with Prime Factorization

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

2 x 2 x 3 x 577 x 65 x 353 x 66 = 10485497880

Therefore, the lowest common multiple of 577,780,706,792 is 10485497880.

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.

577 x 780 x 706 x 792 = 251651949120

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.

577 : 1, 577

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

706 : 1, 2, 353, 706

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,780,706,792, is 1.

Now, the common factors can be found like this.

577:577

780:2x 2x 3x 5x 13

706:2x 353

792:2x 2x 2x 3x 3x 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 = 251651949120/(1x24)

LCM = 251651949120/24

LCM = 10485497880

Thus, we can understand that the LCM of 577,780,706,792 is 10485497880.

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

• LCM of 707, 786, 802, 705
• LCM of 387, 743, 492, 784
• LCM of 213, 502, 858, 897
• LCM of 102, 671, 262, 739
• LCM of 555, 973, 349, 744

1. What is the LCM of 577, 780, 706, 792?

Answer: LCM of 577, 780, 706, 792 is 10485497880.

2. How to calculate the LCM of 577, 780, 706, 792?

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 577, 780, 706, 792.

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}.