Given numbers are 420,119,380,536,545

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

The LCM of 420,119,380,536,545 is 1981449960.

Find LCM of 420,119,380,536,545 with Prime Factorization

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

2 x 2 x 5 x 7 x 3 x 17 x 19 x 134 x 109 = 1981449960

Therefore, the lowest common multiple of 420,119,380,536,545 is 1981449960.

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.

420 x 119 x 380 x 536 x 545 = 5548059888000

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.

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

119 : 1, 7, 17, 119

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

536 : 1, 2, 4, 8, 67, 134, 268, 536

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,119,380,536,545, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

119:7x 17

380:2x 2x 5x 19

536:2x 2x 2x 67

545:5x 109

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 2x 5x 5x 7 = 2800

Therefore, the value for common factors is 2800.

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 = 5548059888000/(1x2800)

LCM = 5548059888000/2800

LCM = 1981449960

Thus, we can understand that the LCM of 420,119,380,536,545 is 1981449960.

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

• LCM of 535, 105, 960, 842, 216
• LCM of 308, 796, 750, 568, 122
• LCM of 155, 496, 965, 838, 359
• LCM of 650, 199, 400, 504, 747
• LCM of 987, 797, 704, 932, 889

1. What is the LCM of 420, 119, 380, 536, 545?

Answer: LCM of 420, 119, 380, 536, 545 is 1981449960.

2. How to calculate the LCM of 420, 119, 380, 536, 545?

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 420, 119, 380, 536, 545.

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}.