Given numbers are 438,749,858,452,690

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

The LCM of 438,749,858,452,690 is 1219265387340.

Find LCM of 438,749,858,452,690 with Prime Factorization

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

2 x 3 x 73 x 749 x 143 x 226 x 115 = 1219265387340

Therefore, the lowest common multiple of 438,749,858,452,690 is 1219265387340.

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.

438 x 749 x 858 x 452 x 690 = 87787107888480

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

749 : 1, 7, 107, 749

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

452 : 1, 2, 4, 113, 226, 452

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,749,858,452,690, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

749:7x 107

858:2x 3x 11x 13

452:2x 2x 113

690:2x 3x 5x 23

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 3 = 72

Therefore, the value for common factors is 72.

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 = 87787107888480/(1x72)

LCM = 87787107888480/72

LCM = 1219265387340

Thus, we can understand that the LCM of 438,749,858,452,690 is 1219265387340.

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

• LCM of 111, 145, 303, 202, 861
• LCM of 539, 879, 584, 200, 444
• LCM of 514, 190, 674, 483, 637
• LCM of 162, 437, 641, 606, 114
• LCM of 734, 583, 873, 282, 691

1. What is the LCM of 438, 749, 858, 452, 690?

Answer: LCM of 438, 749, 858, 452, 690 is 1219265387340.

2. How to calculate the LCM of 438, 749, 858, 452, 690?

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 438, 749, 858, 452, 690.

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}.