Given numbers are 892,299,314,942

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

The LCM of 892,299,314,942 is 125619468.

Find LCM of 892,299,314,942 with Prime Factorization

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

2 x 157 x 446 x 299 x 1 x 3 = 125619468

Therefore, the lowest common multiple of 892,299,314,942 is 125619468.

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.

892 x 299 x 314 x 942 = 78889025904

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.

892 : 1, 2, 4, 223, 446, 892

299 : 1, 13, 23, 299

314 : 1, 2, 157, 314

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,299,314,942, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

299:13x 23

314:2x 157

942:2x 3x 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 = 78889025904/(1x628)

LCM = 78889025904/628

LCM = 125619468

Thus, we can understand that the LCM of 892,299,314,942 is 125619468.

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

• LCM of 196, 353, 800, 668
• LCM of 614, 380, 577, 561
• LCM of 978, 389, 289, 360
• LCM of 198, 244, 783, 987
• LCM of 248, 680, 889, 786

1. What is the LCM of 892, 299, 314, 942?

Answer: LCM of 892, 299, 314, 942 is 125619468.

2. How to calculate the LCM of 892, 299, 314, 942?

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 892, 299, 314, 942.

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}.