Given numbers are 314,554,319,748

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

The LCM of 314,554,319,748 is 943363388.

Find LCM of 314,554,319,748 with Prime Factorization

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

2 x 11 x 157 x 277 x 29 x 34 = 943363388

Therefore, the lowest common multiple of 314,554,319,748 is 943363388.

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.

314 x 554 x 319 x 748 = 41507989072

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.

314 : 1, 2, 157, 314

554 : 1, 2, 277, 554

319 : 1, 11, 29, 319

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,554,319,748, is 1.

Now, the common factors can be found like this.

314:2x 157

554:2x 277

319:11x 29

748:2x 2x 11x 17

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

2x 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 41507989072/(1x44)

LCM = 41507989072/44

LCM = 943363388

Thus, we can understand that the LCM of 314,554,319,748 is 943363388.

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

• LCM of 427, 623, 463, 664
• LCM of 760, 961, 518, 442
• LCM of 184, 224, 581, 892
• LCM of 106, 305, 108, 952
• LCM of 946, 482, 458, 391

1. What is the LCM of 314, 554, 319, 748?

Answer: LCM of 314, 554, 319, 748 is 943363388.

2. How to calculate the LCM of 314, 554, 319, 748?

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 314, 554, 319, 748.

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}.