Given numbers are 374,378,840,350,422

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

The LCM of 374,378,840,350,422 is 1491474600.

Find LCM of 374,378,840,350,422 with Prime Factorization

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

2 x 3 x 5 x 7 x 187 x 9 x 4 x 5 x 211 = 1491474600

Therefore, the lowest common multiple of 374,378,840,350,422 is 1491474600.

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.

374 x 378 x 840 x 350 x 422 = 17539741296000

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

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

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,378,840,350,422, is 2.

Now, the common factors can be found like this.

374:2x 11x 17

378:2x 3x 3x 3x 7

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

350:2x 5x 5x 7

422:2x 211

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 7x 7 = 5880

Therefore, the value for common factors is 5880.

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 = 17539741296000/(2x5880)

LCM = 17539741296000/11760

LCM = 1491474600

Thus, we can understand that the LCM of 374,378,840,350,422 is 1491474600.

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

• LCM of 839, 781, 779, 774, 612
• LCM of 142, 485, 920, 787, 280
• LCM of 211, 898, 964, 379, 512
• LCM of 382, 762, 886, 722, 914
• LCM of 962, 614, 258, 497, 711

1. What is the LCM of 374, 378, 840, 350, 422?

Answer: LCM of 374, 378, 840, 350, 422 is 1491474600.

2. How to calculate the LCM of 374, 378, 840, 350, 422?

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 374, 378, 840, 350, 422.

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}.