Given numbers are 542,756,695,344,574

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

The LCM of 542,756,695,344,574 is 502062979320.

Find LCM of 542,756,695,344,574 with Prime Factorization

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

2 x 2 x 7 x 271 x 27 x 695 x 86 x 41 = 502062979320

Therefore, the lowest common multiple of 542,756,695,344,574 is 502062979320.

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.

542 x 756 x 695 x 344 x 574 = 56231053683840

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.

542 : 1, 2, 271, 542

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

695 : 1, 5, 139, 695

344 : 1, 2, 4, 8, 43, 86, 172, 344

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,756,695,344,574, is 1.

Now, the common factors can be found like this.

542:2x 271

756:2x 2x 3x 3x 3x 7

695:5x 139

344:2x 2x 2x 43

574:2x 7x 41

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 7 = 112

Therefore, the value for common factors is 112.

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 = 56231053683840/(1x112)

LCM = 56231053683840/112

LCM = 502062979320

Thus, we can understand that the LCM of 542,756,695,344,574 is 502062979320.

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

• LCM of 962, 588, 473, 652, 856
• LCM of 614, 550, 441, 975, 860
• LCM of 255, 873, 717, 178, 795
• LCM of 638, 890, 153, 482, 311
• LCM of 606, 500, 221, 360, 973

1. What is the LCM of 542, 756, 695, 344, 574?

Answer: LCM of 542, 756, 695, 344, 574 is 502062979320.

2. How to calculate the LCM of 542, 756, 695, 344, 574?

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 542, 756, 695, 344, 574.

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}.