Given numbers are 337,116,138,748

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

The LCM of 337,116,138,748 is 504404076.

Find LCM of 337,116,138,748 with Prime Factorization

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

2 x 2 x 337 x 29 x 69 x 187 = 504404076

Therefore, the lowest common multiple of 337,116,138,748 is 504404076.

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.

337 x 116 x 138 x 748 = 4035232608

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.

337 : 1, 337

116 : 1, 2, 4, 29, 58, 116

138 : 1, 2, 3, 6, 23, 46, 69, 138

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,116,138,748, is 1.

Now, the common factors can be found like this.

337:337

116:2x 2x 29

138:2x 3x 23

748:2x 2x 11x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4035232608/(1x8)

LCM = 4035232608/8

LCM = 504404076

Thus, we can understand that the LCM of 337,116,138,748 is 504404076.

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

• LCM of 283, 299, 655, 490
• LCM of 664, 155, 271, 189
• LCM of 253, 837, 160, 401
• LCM of 260, 810, 565, 773
• LCM of 734, 994, 198, 744

1. What is the LCM of 337, 116, 138, 748?

Answer: LCM of 337, 116, 138, 748 is 504404076.

2. How to calculate the LCM of 337, 116, 138, 748?

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 337, 116, 138, 748.

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}.