Given numbers are 428,642,614,703

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

The LCM of 428,642,614,703 is 277114164.

Find LCM of 428,642,614,703 with Prime Factorization

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

2 x 107 x 2 x 3 x 307 x 703 = 277114164

Therefore, the lowest common multiple of 428,642,614,703 is 277114164.

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.

428 x 642 x 614 x 703 = 118604862192

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.

428 : 1, 2, 4, 107, 214, 428

642 : 1, 2, 3, 6, 107, 214, 321, 642

614 : 1, 2, 307, 614

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,642,614,703, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

642:2x 3x 107

614:2x 307

703:19x 37

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 = 118604862192/(1x428)

LCM = 118604862192/428

LCM = 277114164

Thus, we can understand that the LCM of 428,642,614,703 is 277114164.

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

• LCM of 108, 924, 238, 607
• LCM of 904, 157, 857, 634
• LCM of 915, 555, 743, 133
• LCM of 924, 373, 886, 480
• LCM of 901, 556, 117, 271

1. What is the LCM of 428, 642, 614, 703?

Answer: LCM of 428, 642, 614, 703 is 277114164.

2. How to calculate the LCM of 428, 642, 614, 703?

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 428, 642, 614, 703.

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}.