Given numbers are 214,133,624,760

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

The LCM of 214,133,624,760 is 44400720.

Find LCM of 214,133,624,760 with Prime Factorization

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

2 x 2 x 2 x 19 x 107 x 7 x 78 x 5 = 44400720

Therefore, the lowest common multiple of 214,133,624,760 is 44400720.

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 133 x 624 x 760 = 13497818880

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

133 : 1, 7, 19, 133

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,133,624,760, is 1.

Now, the common factors can be found like this.

214:2x 107

133:7x 19

624:2x 2x 2x 2x 3x 13

760:2x 2x 2x 5x 19

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 19 = 304

Therefore, the value for common factors is 304.

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 = 13497818880/(1x304)

LCM = 13497818880/304

LCM = 44400720

Thus, we can understand that the LCM of 214,133,624,760 is 44400720.

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

• LCM of 880, 460, 908, 661
• LCM of 143, 858, 803, 659
• LCM of 596, 796, 972, 350
• LCM of 919, 139, 413, 369
• LCM of 705, 892, 289, 322

1. What is the LCM of 214, 133, 624, 760?

Answer: LCM of 214, 133, 624, 760 is 44400720.

2. How to calculate the LCM of 214, 133, 624, 760?

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, 133, 624, 760.

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}.