Given numbers are 248,214,749,374

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

The LCM of 248,214,749,374 is 34735624.

Find LCM of 248,214,749,374 with Prime Factorization

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

2 x 107 x 124 x 1 x 7 x 187 = 34735624

Therefore, the lowest common multiple of 248,214,749,374 is 34735624.

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.

248 x 214 x 749 x 374 = 14866847072

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

214 : 1, 2, 107, 214

749 : 1, 7, 107, 749

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,214,749,374, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

214:2x 107

749:7x 107

374:2x 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 107 = 428

Therefore, the value for common factors is 428.

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 = 14866847072/(1x428)

LCM = 14866847072/428

LCM = 34735624

Thus, we can understand that the LCM of 248,214,749,374 is 34735624.

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

• LCM of 279, 496, 781, 369
• LCM of 235, 251, 252, 638
• LCM of 284, 149, 336, 999
• LCM of 107, 106, 863, 795
• LCM of 596, 642, 566, 463

1. What is the LCM of 248, 214, 749, 374?

Answer: LCM of 248, 214, 749, 374 is 34735624.

2. How to calculate the LCM of 248, 214, 749, 374?

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 248, 214, 749, 374.

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}.