Given numbers are 696,501,513,102,138

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

The LCM of 696,501,513,102,138 is 7771387752.

Find LCM of 696,501,513,102,138 with Prime Factorization

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

2 x 3 x 116 x 167 x 171 x 17 x 23 = 7771387752

Therefore, the lowest common multiple of 696,501,513,102,138 is 7771387752.

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.

696 x 501 x 513 x 102 x 138 = 2517929631648

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

501 : 1, 3, 167, 501

513 : 1, 3, 9, 19, 27, 57, 171, 513

102 : 1, 2, 3, 6, 17, 34, 51, 102

138 : 1, 2, 3, 6, 23, 46, 69, 138

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,501,513,102,138, is 3.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

501:3x 167

513:3x 3x 3x 19

102:2x 3x 17

138:2x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 2517929631648/(3x108)

LCM = 2517929631648/324

LCM = 7771387752

Thus, we can understand that the LCM of 696,501,513,102,138 is 7771387752.

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

• LCM of 232, 216, 534, 957, 698
• LCM of 933, 216, 694, 985, 984
• LCM of 490, 392, 109, 422, 290
• LCM of 692, 328, 726, 434, 989
• LCM of 685, 813, 984, 284, 806

1. What is the LCM of 696, 501, 513, 102, 138?

Answer: LCM of 696, 501, 513, 102, 138 is 7771387752.

2. How to calculate the LCM of 696, 501, 513, 102, 138?

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 696, 501, 513, 102, 138.

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}.