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LCM of 948, 446, 865, 103

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 948, 446, 865, 103 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 948, 446, 865, 103. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 948,446,865,103

Given numbers are 948,446,865,103

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

The LCM of 948,446,865,103 is 18835039380.

Find LCM of 948,446,865,103 with Prime Factorization


2 948, 446, 865, 103
474, 223, 865, 103

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

2 x 474 x 223 x 865 x 103 = 18835039380

Therefore, the lowest common multiple of 948,446,865,103 is 18835039380.

LCM Formula to Find Lowest Common Multiple of 948,446,865,103

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.

948 x 446 x 865 x 103 = 37670078760

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

446 : 1, 2, 223, 446

865 : 1, 5, 173, 865

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,446,865,103, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

446:2x 223

865:5x 173

103:103

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 = 37670078760/(1x2)

LCM = 37670078760/2

LCM = 18835039380

Thus, we can understand that the LCM of 948,446,865,103 is 18835039380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 948, 446, 865, 103

1. What is the LCM of 948, 446, 865, 103?

Answer: LCM of 948, 446, 865, 103 is 18835039380.

2. How to calculate the LCM of 948, 446, 865, 103?

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 948, 446, 865, 103.

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}.