Given numbers are 402,527,420,246,214

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

The LCM of 402,527,420,246,214 is 65058244860.

Find LCM of 402,527,420,246,214 with Prime Factorization

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

2 x 3 x 67 x 527 x 70 x 41 x 107 = 65058244860

Therefore, the lowest common multiple of 402,527,420,246,214 is 65058244860.

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.

402 x 527 x 420 x 246 x 214 = 4684193629920

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

527 : 1, 17, 31, 527

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

246 : 1, 2, 3, 6, 41, 82, 123, 246

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,527,420,246,214, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

527:17x 31

420:2x 2x 3x 5x 7

246:2x 3x 41

214:2x 107

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 3 = 72

Therefore, the value for common factors is 72.

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 = 4684193629920/(1x72)

LCM = 4684193629920/72

LCM = 65058244860

Thus, we can understand that the LCM of 402,527,420,246,214 is 65058244860.

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

• LCM of 803, 567, 467, 868, 410
• LCM of 127, 970, 346, 596, 591
• LCM of 399, 451, 199, 330, 570
• LCM of 855, 638, 131, 749, 308
• LCM of 846, 819, 779, 581, 100

1. What is the LCM of 402, 527, 420, 246, 214?

Answer: LCM of 402, 527, 420, 246, 214 is 65058244860.

2. How to calculate the LCM of 402, 527, 420, 246, 214?

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 402, 527, 420, 246, 214.

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}.