Given numbers are 438,266,892,339,624

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

The LCM of 438,266,892,339,624 is 152666024784.

Find LCM of 438,266,892,339,624 with Prime Factorization

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

2 x 2 x 3 x 73 x 133 x 223 x 113 x 52 = 152666024784

Therefore, the lowest common multiple of 438,266,892,339,624 is 152666024784.

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 266 x 892 x 339 x 624 = 21983907568896

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

892 : 1, 2, 4, 223, 446, 892

339 : 1, 3, 113, 339

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,266,892,339,624, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

266:2x 7x 19

892:2x 2x 223

339:3x 113

624:2x 2x 2x 2x 3x 13

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 21983907568896/(1x144)

LCM = 21983907568896/144

LCM = 152666024784

Thus, we can understand that the LCM of 438,266,892,339,624 is 152666024784.

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

• LCM of 259, 904, 239, 123, 595
• LCM of 222, 328, 516, 617, 110
• LCM of 523, 533, 238, 145, 564
• LCM of 197, 293, 174, 924, 978
• LCM of 942, 557, 286, 948, 284

1. What is the LCM of 438, 266, 892, 339, 624?

Answer: LCM of 438, 266, 892, 339, 624 is 152666024784.

2. How to calculate the LCM of 438, 266, 892, 339, 624?

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, 266, 892, 339, 624.

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}.