Given numbers are 401,823,214,749

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

The LCM of 401,823,214,749 is 494374454.

Find LCM of 401,823,214,749 with Prime Factorization

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

107 x 401 x 823 x 2 x 7 = 494374454

Therefore, the lowest common multiple of 401,823,214,749 is 494374454.

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 823 x 214 x 749 = 52898066578

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

823 : 1, 823

214 : 1, 2, 107, 214

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,823,214,749, is 1.

Now, the common factors can be found like this.

401:401

823:823

214:2x 107

749:7x 107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 52898066578/(1x107)

LCM = 52898066578/107

LCM = 494374454

Thus, we can understand that the LCM of 401,823,214,749 is 494374454.

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

• LCM of 738, 413, 942, 437
• LCM of 617, 456, 838, 282
• LCM of 724, 908, 368, 445
• LCM of 633, 310, 424, 950
• LCM of 154, 299, 838, 140

1. What is the LCM of 401, 823, 214, 749?

Answer: LCM of 401, 823, 214, 749 is 494374454.

2. How to calculate the LCM of 401, 823, 214, 749?

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, 823, 214, 749.

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}.