Given numbers are 751,213,420,614

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

The LCM of 751,213,420,614 is 6875209740.

Find LCM of 751,213,420,614 with Prime Factorization

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

2 x 3 x 751 x 71 x 70 x 307 = 6875209740

Therefore, the lowest common multiple of 751,213,420,614 is 6875209740.

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.

751 x 213 x 420 x 614 = 41251258440

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.

751 : 1, 751

213 : 1, 3, 71, 213

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,213,420,614, is 1.

Now, the common factors can be found like this.

751:751

213:3x 71

420:2x 2x 3x 5x 7

614:2x 307

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 41251258440/(1x6)

LCM = 41251258440/6

LCM = 6875209740

Thus, we can understand that the LCM of 751,213,420,614 is 6875209740.

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

• LCM of 475, 359, 643, 898
• LCM of 261, 708, 292, 222
• LCM of 888, 534, 920, 535
• LCM of 705, 817, 277, 409
• LCM of 286, 831, 107, 142

1. What is the LCM of 751, 213, 420, 614?

Answer: LCM of 751, 213, 420, 614 is 6875209740.

2. How to calculate the LCM of 751, 213, 420, 614?

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 751, 213, 420, 614.

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}.