Given numbers are 617,370,838,921,769

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

The LCM of 617,370,838,921,769 is 67746502803990.

Find LCM of 617,370,838,921,769 with Prime Factorization

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

2 x 617 x 185 x 419 x 921 x 769 = 67746502803990

Therefore, the lowest common multiple of 617,370,838,921,769 is 67746502803990.

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.

617 x 370 x 838 x 921 x 769 = 135493005607980

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.

617 : 1, 617

370 : 1, 2, 5, 10, 37, 74, 185, 370

838 : 1, 2, 419, 838

921 : 1, 3, 307, 921

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,370,838,921,769, is 1.

Now, the common factors can be found like this.

617:617

370:2x 5x 37

838:2x 419

921:3x 307

769:769

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 = 135493005607980/(1x2)

LCM = 135493005607980/2

LCM = 67746502803990

Thus, we can understand that the LCM of 617,370,838,921,769 is 67746502803990.

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

• LCM of 784, 945, 734, 892, 982
• LCM of 821, 387, 440, 361, 349
• LCM of 342, 786, 309, 962, 402
• LCM of 321, 655, 157, 774, 839
• LCM of 456, 796, 850, 414, 204

1. What is the LCM of 617, 370, 838, 921, 769?

Answer: LCM of 617, 370, 838, 921, 769 is 67746502803990.

2. How to calculate the LCM of 617, 370, 838, 921, 769?

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 617, 370, 838, 921, 769.

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}.