Given numbers are 4972,3114

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

The LCM of 4972,3114 is 7741404.

Find LCM of 4972,3114 with Prime Factorization

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

2 x 2486 x 1557 = 7741404

Therefore, the lowest common multiple of 4972,3114 is 7741404.

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.

4972 x 3114 = 15482808

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.

4972 : 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972

3114 : 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4972,3114, is 2.

Now, the common factors can be found like this.

4972:2x 2x 11x 113

3114:2x 3x 3x 173

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

= 1

Therefore, the value for common factors is 1.

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 = 15482808/(2x1)

LCM = 15482808/2

LCM = 7741404

Thus, we can understand that the LCM of 4972,3114 is 7741404.

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

• LCM of 8160, 1499
• LCM of 7729, 8311
• LCM of 5119, 9531
• LCM of 5111, 3257
• LCM of 3618, 4601

1. What is the LCM of 4972, 3114?

Answer: LCM of 4972, 3114 is 7741404.

2. How to calculate the LCM of 4972, 3114?

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 4972, 3114.

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}.