Given numbers are 217,274,251,138

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

The LCM of 217,274,251,138 is 1029753102.

Find LCM of 217,274,251,138 with Prime Factorization

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

2 x 217 x 137 x 251 x 69 = 1029753102

Therefore, the lowest common multiple of 217,274,251,138 is 1029753102.

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.

217 x 274 x 251 x 138 = 2059506204

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.

217 : 1, 7, 31, 217

274 : 1, 2, 137, 274

251 : 1, 251

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,274,251,138, is 1.

Now, the common factors can be found like this.

217:7x 31

274:2x 137

251:251

138:2x 3x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 2059506204/(1x2)

LCM = 2059506204/2

LCM = 1029753102

Thus, we can understand that the LCM of 217,274,251,138 is 1029753102.

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

• LCM of 824, 615, 208, 620
• LCM of 822, 778, 397, 569
• LCM of 196, 945, 797, 860
• LCM of 951, 536, 814, 989
• LCM of 993, 971, 375, 565

1. What is the LCM of 217, 274, 251, 138?

Answer: LCM of 217, 274, 251, 138 is 1029753102.

2. How to calculate the LCM of 217, 274, 251, 138?

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 217, 274, 251, 138.

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}.