Given numbers are 506,456,752,988,107

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

The LCM of 506,456,752,988,107 is 15084827472.

Find LCM of 506,456,752,988,107 with Prime Factorization

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

2 x 2 x 2 x 19 x 253 x 3 x 94 x 13 x 107 = 15084827472

Therefore, the lowest common multiple of 506,456,752,988,107 is 15084827472.

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.

506 x 456 x 752 x 988 x 107 = 18343150205952

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,456,752,988,107, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

456:2x 2x 2x 3x 19

752:2x 2x 2x 2x 47

988:2x 2x 13x 19

107:107

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 2x 2x 19 = 1216

Therefore, the value for common factors is 1216.

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 = 18343150205952/(1x1216)

LCM = 18343150205952/1216

LCM = 15084827472

Thus, we can understand that the LCM of 506,456,752,988,107 is 15084827472.

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

• LCM of 977, 144, 557, 215, 841
• LCM of 389, 578, 438, 719, 966
• LCM of 552, 278, 698, 574, 847
• LCM of 717, 713, 972, 806, 222
• LCM of 578, 435, 606, 273, 958

1. What is the LCM of 506, 456, 752, 988, 107?

Answer: LCM of 506, 456, 752, 988, 107 is 15084827472.

2. How to calculate the LCM of 506, 456, 752, 988, 107?

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 506, 456, 752, 988, 107.

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}.