Given numbers are 785,473,381,314

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

The LCM of 785,473,381,314 is 282934410.

Find LCM of 785,473,381,314 with Prime Factorization

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

157 x 5 x 473 x 381 x 2 = 282934410

Therefore, the lowest common multiple of 785,473,381,314 is 282934410.

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.

785 x 473 x 381 x 314 = 44420702370

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.

785 : 1, 5, 157, 785

473 : 1, 11, 43, 473

381 : 1, 3, 127, 381

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,473,381,314, is 1.

Now, the common factors can be found like this.

785:5x 157

473:11x 43

381:3x 127

314:2x 157

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

157 = 157

Therefore, the value for common factors is 157.

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 = 44420702370/(1x157)

LCM = 44420702370/157

LCM = 282934410

Thus, we can understand that the LCM of 785,473,381,314 is 282934410.

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

• LCM of 154, 137, 754, 804
• LCM of 875, 291, 818, 286
• LCM of 509, 222, 361, 740
• LCM of 858, 817, 140, 798
• LCM of 791, 802, 172, 747

1. What is the LCM of 785, 473, 381, 314?

Answer: LCM of 785, 473, 381, 314 is 282934410.

2. How to calculate the LCM of 785, 473, 381, 314?

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 785, 473, 381, 314.

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}.