Given numbers are 521,546,936,681,741

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

The LCM of 521,546,936,681,741 is 14722822296.

Find LCM of 521,546,936,681,741 with Prime Factorization

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

2 x 3 x 13 x 521 x 7 x 12 x 227 x 19 = 14722822296

Therefore, the lowest common multiple of 521,546,936,681,741 is 14722822296.

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.

521 x 546 x 936 x 681 x 741 = 134360476273296

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.

521 : 1, 521

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

681 : 1, 3, 227, 681

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,546,936,681,741, is 1.

Now, the common factors can be found like this.

521:521

546:2x 3x 7x 13

936:2x 2x 2x 3x 3x 13

681:3x 227

741:3x 13x 19

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 3x 3x 13x 13 = 9126

Therefore, the value for common factors is 9126.

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 = 134360476273296/(1x9126)

LCM = 134360476273296/9126

LCM = 14722822296

Thus, we can understand that the LCM of 521,546,936,681,741 is 14722822296.

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

• LCM of 108, 195, 415, 878, 587
• LCM of 756, 844, 567, 240, 425
• LCM of 477, 881, 359, 453, 380
• LCM of 740, 325, 377, 817, 618
• LCM of 344, 426, 667, 100, 790

1. What is the LCM of 521, 546, 936, 681, 741?

Answer: LCM of 521, 546, 936, 681, 741 is 14722822296.

2. How to calculate the LCM of 521, 546, 936, 681, 741?

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 521, 546, 936, 681, 741.

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}.