Given numbers are 720,428,252,430,778

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

The LCM of 720,428,252,430,778 is 9020536560.

Find LCM of 720,428,252,430,778 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 4 x 107 x 7 x 43 x 389 = 9020536560

Therefore, the lowest common multiple of 720,428,252,430,778 is 9020536560.

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.

720 x 428 x 252 x 430 x 778 = 25979145292800

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

428 : 1, 2, 4, 107, 214, 428

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

430 : 1, 2, 5, 10, 43, 86, 215, 430

778 : 1, 2, 389, 778

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,428,252,430,778, is 2.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

428:2x 2x 107

252:2x 2x 3x 3x 7

430:2x 5x 43

778:2x 389

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 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 25979145292800/(2x1440)

LCM = 25979145292800/2880

LCM = 9020536560

Thus, we can understand that the LCM of 720,428,252,430,778 is 9020536560.

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

• LCM of 136, 244, 956, 937, 817
• LCM of 253, 761, 904, 202, 374
• LCM of 955, 537, 410, 653, 579
• LCM of 435, 586, 157, 846, 965
• LCM of 271, 605, 585, 244, 478

1. What is the LCM of 720, 428, 252, 430, 778?

Answer: LCM of 720, 428, 252, 430, 778 is 9020536560.

2. How to calculate the LCM of 720, 428, 252, 430, 778?

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 720, 428, 252, 430, 778.

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}.