Given numbers are 538,816,748,701,770

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

The LCM of 538,816,748,701,770 is 59240837040.

Find LCM of 538,816,748,701,770 with Prime Factorization

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

2 x 2 x 11 x 17 x 269 x 12 x 1 x 701 x 35 = 59240837040

Therefore, the lowest common multiple of 538,816,748,701,770 is 59240837040.

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.

538 x 816 x 748 x 701 x 770 = 177248584423680

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.

538 : 1, 2, 269, 538

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

701 : 1, 701

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 538,816,748,701,770, is 1.

Now, the common factors can be found like this.

538:2x 269

816:2x 2x 2x 2x 3x 17

748:2x 2x 11x 17

701:701

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 2x 2x 2x 11x 17 = 2992

Therefore, the value for common factors is 2992.

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 = 177248584423680/(1x2992)

LCM = 177248584423680/2992

LCM = 59240837040

Thus, we can understand that the LCM of 538,816,748,701,770 is 59240837040.

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

• LCM of 131, 134, 384, 839, 917
• LCM of 762, 516, 671, 209, 174
• LCM of 475, 853, 570, 288, 693
• LCM of 987, 469, 624, 928, 731
• LCM of 575, 474, 427, 124, 410

1. What is the LCM of 538, 816, 748, 701, 770?

Answer: LCM of 538, 816, 748, 701, 770 is 59240837040.

2. How to calculate the LCM of 538, 816, 748, 701, 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 538, 816, 748, 701, 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}.