Given numbers are 217,756,397,674

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

The LCM of 217,756,397,674 is 3135479004.

Find LCM of 217,756,397,674 with Prime Factorization

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

2 x 7 x 31 x 54 x 397 x 337 = 3135479004

Therefore, the lowest common multiple of 217,756,397,674 is 3135479004.

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 756 x 397 x 674 = 43896706056

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

397 : 1, 397

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,756,397,674, is 1.

Now, the common factors can be found like this.

217:7x 31

756:2x 2x 3x 3x 3x 7

397:397

674:2x 337

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 43896706056/(1x14)

LCM = 43896706056/14

LCM = 3135479004

Thus, we can understand that the LCM of 217,756,397,674 is 3135479004.

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

• LCM of 955, 579, 977, 735
• LCM of 198, 492, 496, 439
• LCM of 939, 432, 306, 281
• LCM of 961, 760, 100, 284
• LCM of 754, 444, 823, 951

1. What is the LCM of 217, 756, 397, 674?

Answer: LCM of 217, 756, 397, 674 is 3135479004.

2. How to calculate the LCM of 217, 756, 397, 674?

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, 756, 397, 674.

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}.