Given numbers are 628,319,174,746

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

The LCM of 628,319,174,746 is 224171508.

Find LCM of 628,319,174,746 with Prime Factorization

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

2 x 29 x 314 x 11 x 3 x 373 = 224171508

Therefore, the lowest common multiple of 628,319,174,746 is 224171508.

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.

628 x 319 x 174 x 746 = 26003894928

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.

628 : 1, 2, 4, 157, 314, 628

319 : 1, 11, 29, 319

174 : 1, 2, 3, 6, 29, 58, 87, 174

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,319,174,746, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

319:11x 29

174:2x 3x 29

746:2x 373

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 29 = 116

Therefore, the value for common factors is 116.

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 = 26003894928/(1x116)

LCM = 26003894928/116

LCM = 224171508

Thus, we can understand that the LCM of 628,319,174,746 is 224171508.

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

• LCM of 108, 969, 900, 114
• LCM of 894, 972, 828, 685
• LCM of 326, 427, 798, 657
• LCM of 256, 470, 373, 308
• LCM of 143, 270, 724, 466

1. What is the LCM of 628, 319, 174, 746?

Answer: LCM of 628, 319, 174, 746 is 224171508.

2. How to calculate the LCM of 628, 319, 174, 746?

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 628, 319, 174, 746.

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}.