Given numbers are 370,565,880,420

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

The LCM of 370,565,880,420 is 77264880.

Find LCM of 370,565,880,420 with Prime Factorization

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

2 x 2 x 5 x 37 x 113 x 44 x 21 = 77264880

Therefore, the lowest common multiple of 370,565,880,420 is 77264880.

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.

370 x 565 x 880 x 420 = 77264880000

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

565 : 1, 5, 113, 565

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,565,880,420, is 5.

Now, the common factors can be found like this.

370:2x 5x 37

565:5x 113

880:2x 2x 2x 2x 5x 11

420:2x 2x 3x 5x 7

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 77264880000/(5x200)

LCM = 77264880000/1000

LCM = 77264880

Thus, we can understand that the LCM of 370,565,880,420 is 77264880.

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

• LCM of 972, 266, 431, 900
• LCM of 376, 921, 751, 963
• LCM of 364, 255, 522, 282
• LCM of 373, 454, 274, 453
• LCM of 562, 534, 123, 874

1. What is the LCM of 370, 565, 880, 420?

Answer: LCM of 370, 565, 880, 420 is 77264880.

2. How to calculate the LCM of 370, 565, 880, 420?

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 370, 565, 880, 420.

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}.