Given numbers are 214,840,970,540,949

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

The LCM of 214,840,970,540,949 is 74463512760.

Find LCM of 214,840,970,540,949 with Prime Factorization

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

2 x 2 x 3 x 5 x 107 x 14 x 97 x 9 x 949 = 74463512760

Therefore, the lowest common multiple of 214,840,970,540,949 is 74463512760.

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.

214 x 840 x 970 x 540 x 949 = 89356215312000

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.

214 : 1, 2, 107, 214

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,840,970,540,949, is 1.

Now, the common factors can be found like this.

214:2x 107

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

970:2x 5x 97

540:2x 2x 3x 3x 3x 5

949:13x 73

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 3x 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 89356215312000/(1x1200)

LCM = 89356215312000/1200

LCM = 74463512760

Thus, we can understand that the LCM of 214,840,970,540,949 is 74463512760.

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

• LCM of 925, 409, 689, 361, 436
• LCM of 840, 187, 278, 416, 234
• LCM of 979, 507, 812, 114, 659
• LCM of 805, 686, 706, 180, 301
• LCM of 518, 154, 841, 901, 572

1. What is the LCM of 214, 840, 970, 540, 949?

Answer: LCM of 214, 840, 970, 540, 949 is 74463512760.

2. How to calculate the LCM of 214, 840, 970, 540, 949?

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 214, 840, 970, 540, 949.

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}.