Given numbers are 702,728,760,523

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

The LCM of 702,728,760,523 is 976608360.

Find LCM of 702,728,760,523 with Prime Factorization

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

2 x 2 x 2 x 13 x 27 x 7 x 95 x 523 = 976608360

Therefore, the lowest common multiple of 702,728,760,523 is 976608360.

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.

702 x 728 x 760 x 523 = 203134538880

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,728,760,523, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

728:2x 2x 2x 7x 13

760:2x 2x 2x 5x 19

523:523

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 13 = 208

Therefore, the value for common factors is 208.

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 = 203134538880/(1x208)

LCM = 203134538880/208

LCM = 976608360

Thus, we can understand that the LCM of 702,728,760,523 is 976608360.

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

• LCM of 881, 131, 303, 448
• LCM of 377, 132, 717, 717
• LCM of 966, 254, 517, 920
• LCM of 423, 992, 607, 985
• LCM of 935, 325, 972, 683

1. What is the LCM of 702, 728, 760, 523?

Answer: LCM of 702, 728, 760, 523 is 976608360.

2. How to calculate the LCM of 702, 728, 760, 523?

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 702, 728, 760, 523.

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}.