Given numbers are 273,931,840,949,714

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

The LCM of 273,931,840,949,714 is 1802378760.

Find LCM of 273,931,840,949,714 with Prime Factorization

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

2 x 3 x 7 x 13 x 1 x 133 x 20 x 73 x 17 = 1802378760

Therefore, the lowest common multiple of 273,931,840,949,714 is 1802378760.

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.

273 x 931 x 840 x 949 x 714 = 144662524035120

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

931 : 1, 7, 19, 49, 133, 931

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

949 : 1, 13, 73, 949

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 273,931,840,949,714, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

931:7x 7x 19

840:2x 2x 2x 3x 5x 7

949:13x 73

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 3x 3x 7x 7x 7x 13 = 80262

Therefore, the value for common factors is 80262.

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 = 144662524035120/(1x80262)

LCM = 144662524035120/80262

LCM = 1802378760

Thus, we can understand that the LCM of 273,931,840,949,714 is 1802378760.

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

• LCM of 287, 634, 477, 283, 604
• LCM of 968, 906, 730, 249, 505
• LCM of 676, 254, 981, 124, 491
• LCM of 137, 820, 543, 998, 653
• LCM of 514, 551, 304, 571, 208

1. What is the LCM of 273, 931, 840, 949, 714?

Answer: LCM of 273, 931, 840, 949, 714 is 1802378760.

2. How to calculate the LCM of 273, 931, 840, 949, 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 273, 931, 840, 949, 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}.