Given numbers are 966,130,312,314,274

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

The LCM of 966,130,312,314,274 is 5402200440.

Find LCM of 966,130,312,314,274 with Prime Factorization

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

2 x 3 x 13 x 161 x 5 x 4 x 157 x 137 = 5402200440

Therefore, the lowest common multiple of 966,130,312,314,274 is 5402200440.

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.

966 x 130 x 312 x 314 x 274 = 3370973074560

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

130 : 1, 2, 5, 10, 13, 26, 65, 130

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

314 : 1, 2, 157, 314

274 : 1, 2, 137, 274

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,130,312,314,274, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

130:2x 5x 13

312:2x 2x 2x 3x 13

314:2x 157

274:2x 137

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 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 3370973074560/(2x312)

LCM = 3370973074560/624

LCM = 5402200440

Thus, we can understand that the LCM of 966,130,312,314,274 is 5402200440.

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

• LCM of 847, 308, 924, 548, 334
• LCM of 442, 297, 923, 338, 349
• LCM of 893, 874, 695, 330, 742
• LCM of 789, 959, 936, 775, 782
• LCM of 870, 178, 746, 265, 712

1. What is the LCM of 966, 130, 312, 314, 274?

Answer: LCM of 966, 130, 312, 314, 274 is 5402200440.

2. How to calculate the LCM of 966, 130, 312, 314, 274?

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 966, 130, 312, 314, 274.

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}.