Given numbers are 420,141,381,153,644

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

The LCM of 420,141,381,153,644 is 2940687540.

Find LCM of 420,141,381,153,644 with Prime Factorization

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

2 x 2 x 3 x 7 x 5 x 47 x 127 x 51 x 23 = 2940687540

Therefore, the lowest common multiple of 420,141,381,153,644 is 2940687540.

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 141 x 381 x 153 x 644 = 2223159780240

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

141 : 1, 3, 47, 141

381 : 1, 3, 127, 381

153 : 1, 3, 9, 17, 51, 153

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,141,381,153,644, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

141:3x 47

381:3x 127

153:3x 3x 17

644:2x 2x 7x 23

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 3x 3x 3x 7 = 756

Therefore, the value for common factors is 756.

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 = 2223159780240/(1x756)

LCM = 2223159780240/756

LCM = 2940687540

Thus, we can understand that the LCM of 420,141,381,153,644 is 2940687540.

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

• LCM of 688, 100, 621, 807, 303
• LCM of 509, 285, 550, 561, 964
• LCM of 523, 366, 184, 714, 876
• LCM of 105, 680, 171, 760, 226
• LCM of 547, 914, 148, 966, 181

1. What is the LCM of 420, 141, 381, 153, 644?

Answer: LCM of 420, 141, 381, 153, 644 is 2940687540.

2. How to calculate the LCM of 420, 141, 381, 153, 644?

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, 141, 381, 153, 644.

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}.