Given numbers are 419,346,510,424

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

The LCM of 419,346,510,424 is 7837294440.

Find LCM of 419,346,510,424 with Prime Factorization

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

2 x 419 x 173 x 255 x 212 = 7837294440

Therefore, the lowest common multiple of 419,346,510,424 is 7837294440.

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.

419 x 346 x 510 x 424 = 31349177760

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.

419 : 1, 419

346 : 1, 2, 173, 346

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,346,510,424, is 1.

Now, the common factors can be found like this.

419:419

346:2x 173

510:2x 3x 5x 17

424:2x 2x 2x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 31349177760/(1x4)

LCM = 31349177760/4

LCM = 7837294440

Thus, we can understand that the LCM of 419,346,510,424 is 7837294440.

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

• LCM of 872, 223, 254, 112
• LCM of 632, 289, 604, 152
• LCM of 581, 554, 201, 937
• LCM of 454, 629, 191, 105
• LCM of 931, 817, 175, 947

1. What is the LCM of 419, 346, 510, 424?

Answer: LCM of 419, 346, 510, 424 is 7837294440.

2. How to calculate the LCM of 419, 346, 510, 424?

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 419, 346, 510, 424.

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}.