Given numbers are 401,143,278,417

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

The LCM of 401,143,278,417 is 47824062.

Find LCM of 401,143,278,417 with Prime Factorization

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

139 x 401 x 143 x 2 x 3 = 47824062

Therefore, the lowest common multiple of 401,143,278,417 is 47824062.

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.

401 x 143 x 278 x 417 = 6647544618

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.

401 : 1, 401

143 : 1, 11, 13, 143

278 : 1, 2, 139, 278

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,143,278,417, is 1.

Now, the common factors can be found like this.

401:401

143:11x 13

278:2x 139

417:3x 139

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

139 = 139

Therefore, the value for common factors is 139.

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 = 6647544618/(1x139)

LCM = 6647544618/139

LCM = 47824062

Thus, we can understand that the LCM of 401,143,278,417 is 47824062.

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

• LCM of 359, 307, 773, 882
• LCM of 341, 940, 823, 207
• LCM of 202, 867, 599, 792
• LCM of 938, 963, 289, 560
• LCM of 572, 984, 212, 224

1. What is the LCM of 401, 143, 278, 417?

Answer: LCM of 401, 143, 278, 417 is 47824062.

2. How to calculate the LCM of 401, 143, 278, 417?

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 401, 143, 278, 417.

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}.