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LCM of 948, 774, 154, 643

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


Find the LCM of 948, 774, 154, 643 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, 774, 154, 643. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 948,774,154,643

Given numbers are 948,774,154,643

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

The LCM of 948,774,154,643 is 6054799212.

Find LCM of 948,774,154,643 with Prime Factorization


2 948, 774, 154, 643
3 474, 387, 77, 643
158, 129, 77, 643

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

2 x 3 x 158 x 129 x 77 x 643 = 6054799212

Therefore, the lowest common multiple of 948,774,154,643 is 6054799212.

LCM Formula to Find Lowest Common Multiple of 948,774,154,643

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 774 x 154 x 643 = 72657590544

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

154 : 1, 2, 7, 11, 14, 22, 77, 154

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,774,154,643, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

774:2x 3x 3x 43

154:2x 7x 11

643:643

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 3 = 12

Therefore, the value for common factors is 12.

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 = 72657590544/(1x12)

LCM = 72657590544/12

LCM = 6054799212

Thus, we can understand that the LCM of 948,774,154,643 is 6054799212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 948, 774, 154, 643

1. What is the LCM of 948, 774, 154, 643?

Answer: LCM of 948, 774, 154, 643 is 6054799212.

2. How to calculate the LCM of 948, 774, 154, 643?

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, 774, 154, 643.

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}.