Given numbers are 705,749,379,214

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

The LCM of 705,749,379,214 is 400258110.

Find LCM of 705,749,379,214 with Prime Factorization

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

107 x 705 x 7 x 379 x 2 = 400258110

Therefore, the lowest common multiple of 705,749,379,214 is 400258110.

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.

705 x 749 x 379 x 214 = 42827617770

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

749 : 1, 7, 107, 749

379 : 1, 379

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,749,379,214, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

749:7x 107

379:379

214:2x 107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 42827617770/(1x107)

LCM = 42827617770/107

LCM = 400258110

Thus, we can understand that the LCM of 705,749,379,214 is 400258110.

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

• LCM of 393, 962, 349, 808
• LCM of 548, 140, 944, 884
• LCM of 523, 547, 840, 999
• LCM of 958, 857, 623, 867
• LCM of 542, 313, 417, 921

1. What is the LCM of 705, 749, 379, 214?

Answer: LCM of 705, 749, 379, 214 is 400258110.

2. How to calculate the LCM of 705, 749, 379, 214?

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 705, 749, 379, 214.

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}.