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LCM of 221, 578, 248, 235

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


Find the LCM of 221, 578, 248, 235 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 221, 578, 248, 235. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,578,248,235

Given numbers are 221,578,248,235

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

The LCM of 221,578,248,235 is 218957960.

Find LCM of 221,578,248,235 with Prime Factorization


2 221, 578, 248, 235
17 221, 289, 124, 235
13, 17, 124, 235

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

2 x 17 x 13 x 17 x 124 x 235 = 218957960

Therefore, the lowest common multiple of 221,578,248,235 is 218957960.

LCM Formula to Find Lowest Common Multiple of 221,578,248,235

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.

221 x 578 x 248 x 235 = 7444570640

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.

221 : 1, 13, 17, 221

578 : 1, 2, 17, 34, 289, 578

248 : 1, 2, 4, 8, 31, 62, 124, 248

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,578,248,235, is 1.

Now, the common factors can be found like this.

221:13x 17

578:2x 17x 17

248:2x 2x 2x 31

235:5x 47

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 7444570640/(1x34)

LCM = 7444570640/34

LCM = 218957960

Thus, we can understand that the LCM of 221,578,248,235 is 218957960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 578, 248, 235

1. What is the LCM of 221, 578, 248, 235?

Answer: LCM of 221, 578, 248, 235 is 218957960.

2. How to calculate the LCM of 221, 578, 248, 235?

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 221, 578, 248, 235.

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}.