Given numbers are 341,350,710,146,204

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

The LCM of 341,350,710,146,204 is 63096287100.

Find LCM of 341,350,710,146,204 with Prime Factorization

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

2 x 5 x 341 x 35 x 71 x 73 x 102 = 63096287100

Therefore, the lowest common multiple of 341,350,710,146,204 is 63096287100.

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.

341 x 350 x 710 x 146 x 204 = 2523851484000

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.

341 : 1, 11, 31, 341

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

710 : 1, 2, 5, 10, 71, 142, 355, 710

146 : 1, 2, 73, 146

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,350,710,146,204, is 1.

Now, the common factors can be found like this.

341:11x 31

350:2x 5x 5x 7

710:2x 5x 71

146:2x 73

204:2x 2x 3x 17

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 5 = 40

Therefore, the value for common factors is 40.

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 = 2523851484000/(1x40)

LCM = 2523851484000/40

LCM = 63096287100

Thus, we can understand that the LCM of 341,350,710,146,204 is 63096287100.

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

• LCM of 485, 747, 222, 823, 496
• LCM of 540, 929, 196, 535, 269
• LCM of 398, 885, 772, 732, 890
• LCM of 730, 959, 266, 359, 568
• LCM of 526, 259, 918, 388, 508

1. What is the LCM of 341, 350, 710, 146, 204?

Answer: LCM of 341, 350, 710, 146, 204 is 63096287100.

2. How to calculate the LCM of 341, 350, 710, 146, 204?

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 341, 350, 710, 146, 204.

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}.