Given numbers are 930,674,217,428

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

The LCM of 930,674,217,428 is 469488180.

Find LCM of 930,674,217,428 with Prime Factorization

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

2 x 31 x 15 x 337 x 7 x 214 = 469488180

Therefore, the lowest common multiple of 930,674,217,428 is 469488180.

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.

930 x 674 x 217 x 428 = 58216534320

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

674 : 1, 2, 337, 674

217 : 1, 7, 31, 217

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,674,217,428, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

674:2x 337

217:7x 31

428:2x 2x 107

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 31 = 124

Therefore, the value for common factors is 124.

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 = 58216534320/(1x124)

LCM = 58216534320/124

LCM = 469488180

Thus, we can understand that the LCM of 930,674,217,428 is 469488180.

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

• LCM of 998, 408, 143, 591
• LCM of 945, 824, 224, 897
• LCM of 814, 638, 658, 598
• LCM of 174, 979, 654, 359
• LCM of 558, 815, 780, 308

1. What is the LCM of 930, 674, 217, 428?

Answer: LCM of 930, 674, 217, 428 is 469488180.

2. How to calculate the LCM of 930, 674, 217, 428?

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 930, 674, 217, 428.

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}.