Given numbers are 278,217,714,473

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

The LCM of 278,217,714,473 is 1455244098.

Find LCM of 278,217,714,473 with Prime Factorization

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

2 x 7 x 139 x 31 x 51 x 473 = 1455244098

Therefore, the lowest common multiple of 278,217,714,473 is 1455244098.

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.

278 x 217 x 714 x 473 = 20373417372

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.

278 : 1, 2, 139, 278

217 : 1, 7, 31, 217

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,217,714,473, is 1.

Now, the common factors can be found like this.

278:2x 139

217:7x 31

714:2x 3x 7x 17

473:11x 43

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 = 20373417372/(1x14)

LCM = 20373417372/14

LCM = 1455244098

Thus, we can understand that the LCM of 278,217,714,473 is 1455244098.

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

• LCM of 399, 213, 146, 503
• LCM of 375, 732, 547, 102
• LCM of 542, 604, 825, 215
• LCM of 856, 791, 395, 995
• LCM of 651, 277, 443, 284

1. What is the LCM of 278, 217, 714, 473?

Answer: LCM of 278, 217, 714, 473 is 1455244098.

2. How to calculate the LCM of 278, 217, 714, 473?

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 278, 217, 714, 473.

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}.