Given numbers are 427,217,537,749

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

The LCM of 427,217,537,749 is 760584783.

Find LCM of 427,217,537,749 with Prime Factorization

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

7 x 61 x 31 x 537 x 107 = 760584783

Therefore, the lowest common multiple of 427,217,537,749 is 760584783.

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.

427 x 217 x 537 x 749 = 37268654367

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.

427 : 1, 7, 61, 427

217 : 1, 7, 31, 217

537 : 1, 3, 179, 537

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,217,537,749, is 1.

Now, the common factors can be found like this.

427:7x 61

217:7x 31

537:3x 179

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.

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 37268654367/(1x49)

LCM = 37268654367/49

LCM = 760584783

Thus, we can understand that the LCM of 427,217,537,749 is 760584783.

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

• LCM of 271, 895, 726, 323
• LCM of 984, 147, 393, 696
• LCM of 940, 337, 669, 340
• LCM of 154, 375, 975, 719
• LCM of 814, 890, 381, 391

1. What is the LCM of 427, 217, 537, 749?

Answer: LCM of 427, 217, 537, 749 is 760584783.

2. How to calculate the LCM of 427, 217, 537, 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 427, 217, 537, 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}.