Given numbers are 467,756,574,349

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

The LCM of 467,756,574,349 is 5051821068.

Find LCM of 467,756,574,349 with Prime Factorization

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

2 x 7 x 467 x 54 x 41 x 349 = 5051821068

Therefore, the lowest common multiple of 467,756,574,349 is 5051821068.

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.

467 x 756 x 574 x 349 = 70725494952

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.

467 : 1, 467

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,756,574,349, is 1.

Now, the common factors can be found like this.

467:467

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

574:2x 7x 41

349:349

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 = 70725494952/(1x14)

LCM = 70725494952/14

LCM = 5051821068

Thus, we can understand that the LCM of 467,756,574,349 is 5051821068.

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

• LCM of 822, 643, 166, 232
• LCM of 933, 212, 227, 318
• LCM of 797, 528, 750, 594
• LCM of 457, 741, 761, 892
• LCM of 108, 570, 286, 568

1. What is the LCM of 467, 756, 574, 349?

Answer: LCM of 467, 756, 574, 349 is 5051821068.

2. How to calculate the LCM of 467, 756, 574, 349?

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 467, 756, 574, 349.

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}.