Given numbers are 840,121,214,237,292

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

The LCM of 840,121,214,237,292 is 62718893160.

Find LCM of 840,121,214,237,292 with Prime Factorization

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

2 x 2 x 3 x 70 x 121 x 107 x 79 x 73 = 62718893160

Therefore, the lowest common multiple of 840,121,214,237,292 is 62718893160.

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.

840 x 121 x 214 x 237 x 292 = 1505253435840

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.

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

121 : 1, 11, 121

214 : 1, 2, 107, 214

237 : 1, 3, 79, 237

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,121,214,237,292, is 1.

Now, the common factors can be found like this.

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

121:11x 11

214:2x 107

237:3x 79

292:2x 2x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 1505253435840/(1x24)

LCM = 1505253435840/24

LCM = 62718893160

Thus, we can understand that the LCM of 840,121,214,237,292 is 62718893160.

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

• LCM of 187, 689, 492, 270, 458
• LCM of 728, 939, 974, 850, 669
• LCM of 112, 665, 855, 454, 772
• LCM of 299, 543, 583, 129, 610
• LCM of 326, 324, 191, 183, 710

1. What is the LCM of 840, 121, 214, 237, 292?

Answer: LCM of 840, 121, 214, 237, 292 is 62718893160.

2. How to calculate the LCM of 840, 121, 214, 237, 292?

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 840, 121, 214, 237, 292.

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}.