Given numbers are 107,302,363,140

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

The LCM of 107,302,363,140 is 821098740.

Find LCM of 107,302,363,140 with Prime Factorization

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

2 x 107 x 151 x 363 x 70 = 821098740

Therefore, the lowest common multiple of 107,302,363,140 is 821098740.

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.

107 x 302 x 363 x 140 = 1642197480

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.

107 : 1, 107

302 : 1, 2, 151, 302

363 : 1, 3, 11, 33, 121, 363

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,302,363,140, is 1.

Now, the common factors can be found like this.

107:107

302:2x 151

363:3x 11x 11

140:2x 2x 5x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1642197480/(1x2)

LCM = 1642197480/2

LCM = 821098740

Thus, we can understand that the LCM of 107,302,363,140 is 821098740.

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

• LCM of 962, 254, 956, 526
• LCM of 630, 361, 145, 662
• LCM of 312, 441, 556, 265
• LCM of 140, 170, 492, 996
• LCM of 729, 932, 510, 475

1. What is the LCM of 107, 302, 363, 140?

Answer: LCM of 107, 302, 363, 140 is 821098740.

2. How to calculate the LCM of 107, 302, 363, 140?

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 107, 302, 363, 140.

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}.