Given numbers are 773,748,341,732,828

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

The LCM of 773,748,341,732,828 is 226330439148.

Find LCM of 773,748,341,732,828 with Prime Factorization

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

2 x 2 x 3 x 11 x 773 x 17 x 31 x 61 x 69 = 226330439148

Therefore, the lowest common multiple of 773,748,341,732,828 is 226330439148.

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.

773 x 748 x 341 x 732 x 828 = 119502471870144

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.

773 : 1, 773

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

341 : 1, 11, 31, 341

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,748,341,732,828, is 1.

Now, the common factors can be found like this.

773:773

748:2x 2x 11x 17

341:11x 31

732:2x 2x 3x 61

828:2x 2x 3x 3x 23

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 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 119502471870144/(1x528)

LCM = 119502471870144/528

LCM = 226330439148

Thus, we can understand that the LCM of 773,748,341,732,828 is 226330439148.

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

• LCM of 531, 185, 876, 124, 829
• LCM of 178, 996, 467, 754, 810
• LCM of 875, 544, 843, 139, 943
• LCM of 136, 888, 930, 410, 784
• LCM of 381, 132, 483, 377, 144

1. What is the LCM of 773, 748, 341, 732, 828?

Answer: LCM of 773, 748, 341, 732, 828 is 226330439148.

2. How to calculate the LCM of 773, 748, 341, 732, 828?

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 773, 748, 341, 732, 828.

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}.