Given numbers are 761,914,924,788,824

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

The LCM of 761,914,924,788,824 is 13040861261736.

Find LCM of 761,914,924,788,824 with Prime Factorization

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

2 x 2 x 761 x 457 x 231 x 197 x 206 = 13040861261736

Therefore, the lowest common multiple of 761,914,924,788,824 is 13040861261736.

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.

761 x 914 x 924 x 788 x 824 = 417307560375552

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.

761 : 1, 761

914 : 1, 2, 457, 914

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

788 : 1, 2, 4, 197, 394, 788

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,914,924,788,824, is 1.

Now, the common factors can be found like this.

761:761

914:2x 457

924:2x 2x 3x 7x 11

788:2x 2x 197

824:2x 2x 2x 103

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 = 417307560375552/(1x32)

LCM = 417307560375552/32

LCM = 13040861261736

Thus, we can understand that the LCM of 761,914,924,788,824 is 13040861261736.

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

• LCM of 488, 374, 944, 556, 994
• LCM of 989, 780, 800, 773, 253
• LCM of 916, 317, 753, 613, 313
• LCM of 187, 797, 742, 603, 616
• LCM of 573, 355, 461, 338, 210

1. What is the LCM of 761, 914, 924, 788, 824?

Answer: LCM of 761, 914, 924, 788, 824 is 13040861261736.

2. How to calculate the LCM of 761, 914, 924, 788, 824?

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 761, 914, 924, 788, 824.

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}.