Given numbers are 878,829,942,314

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

The LCM of 878,829,942,314 is 342823002.

Find LCM of 878,829,942,314 with Prime Factorization

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

2 x 157 x 439 x 829 x 3 x 1 = 342823002

Therefore, the lowest common multiple of 878,829,942,314 is 342823002.

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.

878 x 829 x 942 x 314 = 215292845256

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.

878 : 1, 2, 439, 878

829 : 1, 829

942 : 1, 2, 3, 6, 157, 314, 471, 942

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,829,942,314, is 1.

Now, the common factors can be found like this.

878:2x 439

829:829

942:2x 3x 157

314:2x 157

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 157 = 628

Therefore, the value for common factors is 628.

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 = 215292845256/(1x628)

LCM = 215292845256/628

LCM = 342823002

Thus, we can understand that the LCM of 878,829,942,314 is 342823002.

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

• LCM of 282, 831, 580, 819
• LCM of 475, 501, 583, 312
• LCM of 267, 942, 646, 974
• LCM of 308, 954, 298, 882
• LCM of 809, 874, 297, 888

1. What is the LCM of 878, 829, 942, 314?

Answer: LCM of 878, 829, 942, 314 is 342823002.

2. How to calculate the LCM of 878, 829, 942, 314?

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 878, 829, 942, 314.

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}.