Given numbers are 584,854,745,126,714

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

The LCM of 584,854,745,126,714 is 28424211480.

Find LCM of 584,854,745,126,714 with Prime Factorization

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

2 x 3 x 7 x 292 x 61 x 745 x 3 x 17 = 28424211480

Therefore, the lowest common multiple of 584,854,745,126,714 is 28424211480.

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.

584 x 854 x 745 x 126 x 714 = 33426872700480

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

854 : 1, 2, 7, 14, 61, 122, 427, 854

745 : 1, 5, 149, 745

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,854,745,126,714, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

854:2x 7x 61

745:5x 149

126:2x 3x 3x 7

714:2x 3x 7x 17

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 3x 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 33426872700480/(1x1176)

LCM = 33426872700480/1176

LCM = 28424211480

Thus, we can understand that the LCM of 584,854,745,126,714 is 28424211480.

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

• LCM of 480, 800, 297, 670, 352
• LCM of 477, 874, 857, 861, 128
• LCM of 655, 389, 174, 395, 822
• LCM of 448, 936, 562, 970, 749
• LCM of 639, 583, 391, 648, 384

1. What is the LCM of 584, 854, 745, 126, 714?

Answer: LCM of 584, 854, 745, 126, 714 is 28424211480.

2. How to calculate the LCM of 584, 854, 745, 126, 714?

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 584, 854, 745, 126, 714.

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}.