Given numbers are 701,970,380,21

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

The LCM of 701,970,380,21 is 542616060.

Find LCM of 701,970,380,21 with Prime Factorization

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

2 x 5 x 701 x 97 x 38 x 21 = 542616060

Therefore, the lowest common multiple of 701,970,380,21 is 542616060.

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.

701 x 970 x 380 x 21 = 5426160600

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.

701 : 1, 701

970 : 1, 2, 5, 10, 97, 194, 485, 970

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

21 : 1, 3, 7, 21

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,970,380,21, is 1.

Now, the common factors can be found like this.

701:701

970:2x 5x 97

380:2x 2x 5x 19

21:3x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 5426160600/(1x10)

LCM = 5426160600/10

LCM = 542616060

Thus, we can understand that the LCM of 701,970,380,21 is 542616060.

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

• LCM of 392, 127, 764, 76
• LCM of 886, 207, 696, 79
• LCM of 961, 728, 808, 82
• LCM of 807, 523, 946, 55
• LCM of 923, 852, 236, 92

1. What is the LCM of 701, 970, 380, 21?

Answer: LCM of 701, 970, 380, 21 is 542616060.

2. How to calculate the LCM of 701, 970, 380, 21?

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 701, 970, 380, 21.

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}.