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LCM of 226, 679, 858, 548

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


Find the LCM of 226, 679, 858, 548 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 226, 679, 858, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 226,679,858,548

Given numbers are 226,679,858,548

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

The LCM of 226,679,858,548 is 18037903884.

Find LCM of 226,679,858,548 with Prime Factorization


2 226, 679, 858, 548
113, 679, 429, 274

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

2 x 113 x 679 x 429 x 274 = 18037903884

Therefore, the lowest common multiple of 226,679,858,548 is 18037903884.

LCM Formula to Find Lowest Common Multiple of 226,679,858,548

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.

226 x 679 x 858 x 548 = 72151615536

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.

226 : 1, 2, 113, 226

679 : 1, 7, 97, 679

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,679,858,548, is 1.

Now, the common factors can be found like this.

226:2x 113

679:7x 97

858:2x 3x 11x 13

548:2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 72151615536/(1x4)

LCM = 72151615536/4

LCM = 18037903884

Thus, we can understand that the LCM of 226,679,858,548 is 18037903884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 226, 679, 858, 548

1. What is the LCM of 226, 679, 858, 548?

Answer: LCM of 226, 679, 858, 548 is 18037903884.

2. How to calculate the LCM of 226, 679, 858, 548?

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 226, 679, 858, 548.

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}.