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LCM of 302, 505, 921, 771

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


Find the LCM of 302, 505, 921, 771 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 302, 505, 921, 771. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 302,505,921,771

Given numbers are 302,505,921,771

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

The LCM of 302,505,921,771 is 36098659470.

Find LCM of 302,505,921,771 with Prime Factorization


3 302, 505, 921, 771
302, 505, 307, 257

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

3 x 302 x 505 x 307 x 257 = 36098659470

Therefore, the lowest common multiple of 302,505,921,771 is 36098659470.

LCM Formula to Find Lowest Common Multiple of 302,505,921,771

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.

302 x 505 x 921 x 771 = 108295978410

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.

302 : 1, 2, 151, 302

505 : 1, 5, 101, 505

921 : 1, 3, 307, 921

771 : 1, 3, 257, 771

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,505,921,771, is 1.

Now, the common factors can be found like this.

302:2x 151

505:5x 101

921:3x 307

771:3x 257

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

3 = 3

Therefore, the value for common factors is 3.

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 = 108295978410/(1x3)

LCM = 108295978410/3

LCM = 36098659470

Thus, we can understand that the LCM of 302,505,921,771 is 36098659470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 302, 505, 921, 771

1. What is the LCM of 302, 505, 921, 771?

Answer: LCM of 302, 505, 921, 771 is 36098659470.

2. How to calculate the LCM of 302, 505, 921, 771?

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 302, 505, 921, 771.

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}.