Given numbers are 701,582,912,970,914

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

The LCM of 701,582,912,970,914 is 141700308240.

Find LCM of 701,582,912,970,914 with Prime Factorization

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

2 x 3 x 97 x 701 x 1 x 152 x 5 x 457 = 141700308240

Therefore, the lowest common multiple of 701,582,912,970,914 is 141700308240.

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 582 x 912 x 970 x 914 = 329878317582720

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

582 : 1, 2, 3, 6, 97, 194, 291, 582

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,582,912,970,914, is 1.

Now, the common factors can be found like this.

701:701

582:2x 3x 97

912:2x 2x 2x 2x 3x 19

970:2x 5x 97

914:2x 457

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 3x 97 = 2328

Therefore, the value for common factors is 2328.

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 = 329878317582720/(1x2328)

LCM = 329878317582720/2328

LCM = 141700308240

Thus, we can understand that the LCM of 701,582,912,970,914 is 141700308240.

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

• LCM of 320, 292, 654, 488, 394
• LCM of 428, 610, 910, 801, 978
• LCM of 318, 908, 986, 551, 528
• LCM of 749, 471, 474, 654, 198
• LCM of 866, 315, 869, 235, 676

1. What is the LCM of 701, 582, 912, 970, 914?

Answer: LCM of 701, 582, 912, 970, 914 is 141700308240.

2. How to calculate the LCM of 701, 582, 912, 970, 914?

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, 582, 912, 970, 914.

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}.