Given numbers are 429,652,728,756,902

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

The LCM of 429,652,728,756,902 is 1444971528.

Find LCM of 429,652,728,756,902 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 13 x 1 x 163 x 2 x 9 x 41 = 1444971528

Therefore, the lowest common multiple of 429,652,728,756,902 is 1444971528.

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.

429 x 652 x 728 x 756 x 902 = 138855983954688

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

652 : 1, 2, 4, 163, 326, 652

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

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

902 : 1, 2, 11, 22, 41, 82, 451, 902

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,652,728,756,902, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

652:2x 2x 163

728:2x 2x 2x 7x 13

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

902:2x 11x 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 2x 3x 7x 11x 13 = 96096

Therefore, the value for common factors is 96096.

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 = 138855983954688/(1x96096)

LCM = 138855983954688/96096

LCM = 1444971528

Thus, we can understand that the LCM of 429,652,728,756,902 is 1444971528.

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

• LCM of 950, 957, 230, 683, 798
• LCM of 199, 127, 398, 578, 659
• LCM of 883, 727, 711, 919, 911
• LCM of 698, 558, 511, 170, 597
• LCM of 578, 637, 725, 296, 424

1. What is the LCM of 429, 652, 728, 756, 902?

Answer: LCM of 429, 652, 728, 756, 902 is 1444971528.

2. How to calculate the LCM of 429, 652, 728, 756, 902?

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 429, 652, 728, 756, 902.

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}.