Given numbers are 777,960,370,509

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

The LCM of 777,960,370,509 is 126557760.

Find LCM of 777,960,370,509 with Prime Factorization

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

2 x 3 x 5 x 37 x 7 x 32 x 1 x 509 = 126557760

Therefore, the lowest common multiple of 777,960,370,509 is 126557760.

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.

777 x 960 x 370 x 509 = 140479113600

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.

777 : 1, 3, 7, 21, 37, 111, 259, 777

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

370 : 1, 2, 5, 10, 37, 74, 185, 370

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,960,370,509, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

960:2x 2x 2x 2x 2x 2x 3x 5

370:2x 5x 37

509:509

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 37 = 1110

Therefore, the value for common factors is 1110.

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 = 140479113600/(1x1110)

LCM = 140479113600/1110

LCM = 126557760

Thus, we can understand that the LCM of 777,960,370,509 is 126557760.

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

• LCM of 726, 644, 320, 351
• LCM of 111, 876, 513, 118
• LCM of 605, 368, 942, 601
• LCM of 623, 477, 727, 955
• LCM of 650, 708, 471, 713

1. What is the LCM of 777, 960, 370, 509?

Answer: LCM of 777, 960, 370, 509 is 126557760.

2. How to calculate the LCM of 777, 960, 370, 509?

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 777, 960, 370, 509.

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}.