Given numbers are 249,528,741,199,770

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

The LCM of 249,528,741,199,770 is 75392837520.

Find LCM of 249,528,741,199,770 with Prime Factorization

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

2 x 3 x 11 x 83 x 8 x 247 x 199 x 35 = 75392837520

Therefore, the lowest common multiple of 249,528,741,199,770 is 75392837520.

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.

249 x 528 x 741 x 199 x 770 = 14927781828960

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.

249 : 1, 3, 83, 249

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

199 : 1, 199

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,528,741,199,770, is 1.

Now, the common factors can be found like this.

249:3x 83

528:2x 2x 2x 2x 3x 11

741:3x 13x 19

199:199

770:2x 5x 7x 11

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 11 = 198

Therefore, the value for common factors is 198.

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 = 14927781828960/(1x198)

LCM = 14927781828960/198

LCM = 75392837520

Thus, we can understand that the LCM of 249,528,741,199,770 is 75392837520.

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

• LCM of 909, 339, 386, 405, 843
• LCM of 183, 823, 298, 738, 309
• LCM of 728, 640, 732, 528, 825
• LCM of 634, 749, 408, 697, 238
• LCM of 971, 946, 294, 174, 648

1. What is the LCM of 249, 528, 741, 199, 770?

Answer: LCM of 249, 528, 741, 199, 770 is 75392837520.

2. How to calculate the LCM of 249, 528, 741, 199, 770?

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 249, 528, 741, 199, 770.

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}.