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LCM of 766, 274, 421, 221

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


Find the LCM of 766, 274, 421, 221 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 766, 274, 421, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,274,421,221

Given numbers are 766,274,421,221

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

The LCM of 766,274,421,221 is 9763908622.

Find LCM of 766,274,421,221 with Prime Factorization


2 766, 274, 421, 221
383, 137, 421, 221

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

2 x 383 x 137 x 421 x 221 = 9763908622

Therefore, the lowest common multiple of 766,274,421,221 is 9763908622.

LCM Formula to Find Lowest Common Multiple of 766,274,421,221

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.

766 x 274 x 421 x 221 = 19527817244

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.

766 : 1, 2, 383, 766

274 : 1, 2, 137, 274

421 : 1, 421

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,274,421,221, is 1.

Now, the common factors can be found like this.

766:2x 383

274:2x 137

421:421

221:13x 17

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 = 19527817244/(1x2)

LCM = 19527817244/2

LCM = 9763908622

Thus, we can understand that the LCM of 766,274,421,221 is 9763908622.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 274, 421, 221

1. What is the LCM of 766, 274, 421, 221?

Answer: LCM of 766, 274, 421, 221 is 9763908622.

2. How to calculate the LCM of 766, 274, 421, 221?

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 766, 274, 421, 221.

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}.