Given numbers are 420,602,644,973

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

The LCM of 420,602,644,973 is 57737820.

Find LCM of 420,602,644,973 with Prime Factorization

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

2 x 2 x 7 x 15 x 43 x 23 x 139 = 57737820

Therefore, the lowest common multiple of 420,602,644,973 is 57737820.

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 602 x 644 x 973 = 158432578080

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

602 : 1, 2, 7, 14, 43, 86, 301, 602

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

973 : 1, 7, 139, 973

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,602,644,973, is 7.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

602:2x 7x 43

644:2x 2x 7x 23

973:7x 139

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 158432578080/(7x392)

LCM = 158432578080/2744

LCM = 57737820

Thus, we can understand that the LCM of 420,602,644,973 is 57737820.

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

• LCM of 611, 419, 314, 358
• LCM of 178, 151, 563, 117
• LCM of 717, 807, 774, 845
• LCM of 393, 978, 719, 501
• LCM of 350, 262, 471, 683

1. What is the LCM of 420, 602, 644, 973?

Answer: LCM of 420, 602, 644, 973 is 57737820.

2. How to calculate the LCM of 420, 602, 644, 973?

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, 602, 644, 973.

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}.