Given numbers are 212,420,610,965,435

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

The LCM of 212,420,610,965,435 is 7599942420.

Find LCM of 212,420,610,965,435 with Prime Factorization

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

2 x 2 x 3 x 5 x 53 x 7 x 61 x 193 x 29 = 7599942420

Therefore, the lowest common multiple of 212,420,610,965,435 is 7599942420.

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.

212 x 420 x 610 x 965 x 435 = 22799827260000

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.

212 : 1, 2, 4, 53, 106, 212

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

610 : 1, 2, 5, 10, 61, 122, 305, 610

965 : 1, 5, 193, 965

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,420,610,965,435, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

420:2x 2x 3x 5x 7

610:2x 5x 61

965:5x 193

435:3x 5x 29

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 3x 5x 5x 5 = 3000

Therefore, the value for common factors is 3000.

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 = 22799827260000/(1x3000)

LCM = 22799827260000/3000

LCM = 7599942420

Thus, we can understand that the LCM of 212,420,610,965,435 is 7599942420.

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

• LCM of 981, 798, 795, 999, 191
• LCM of 489, 147, 646, 541, 949
• LCM of 380, 966, 219, 932, 202
• LCM of 454, 596, 811, 268, 396
• LCM of 119, 453, 678, 859, 927

1. What is the LCM of 212, 420, 610, 965, 435?

Answer: LCM of 212, 420, 610, 965, 435 is 7599942420.

2. How to calculate the LCM of 212, 420, 610, 965, 435?

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 212, 420, 610, 965, 435.

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}.