Given numbers are 142,676,527,648,746

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

The LCM of 142,676,527,648,746 is 1528408717992.

Find LCM of 142,676,527,648,746 with Prime Factorization

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

2 x 2 x 71 x 169 x 527 x 162 x 373 = 1528408717992

Therefore, the lowest common multiple of 142,676,527,648,746 is 1528408717992.

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.

142 x 676 x 527 x 648 x 746 = 24454539487872

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.

142 : 1, 2, 71, 142

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

527 : 1, 17, 31, 527

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,676,527,648,746, is 1.

Now, the common factors can be found like this.

142:2x 71

676:2x 2x 13x 13

527:17x 31

648:2x 2x 2x 3x 3x 3x 3

746:2x 373

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 2 = 16

Therefore, the value for common factors is 16.

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 = 24454539487872/(1x16)

LCM = 24454539487872/16

LCM = 1528408717992

Thus, we can understand that the LCM of 142,676,527,648,746 is 1528408717992.

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

• LCM of 983, 244, 244, 530, 589
• LCM of 775, 719, 612, 231, 826
• LCM of 131, 310, 389, 150, 901
• LCM of 519, 315, 793, 473, 132
• LCM of 951, 387, 290, 711, 790

1. What is the LCM of 142, 676, 527, 648, 746?

Answer: LCM of 142, 676, 527, 648, 746 is 1528408717992.

2. How to calculate the LCM of 142, 676, 527, 648, 746?

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 142, 676, 527, 648, 746.

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}.