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LCM of 771, 354, 946, 203, 485

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


Find the LCM of 771, 354, 946, 203, 485 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 771, 354, 946, 203, 485. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,354,946,203,485

Given numbers are 771,354,946,203,485

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

The LCM of 771,354,946,203,485 is 4236774042270.

Find LCM of 771,354,946,203,485 with Prime Factorization


2 771, 354, 946, 203, 485
3 771, 177, 473, 203, 485
257, 59, 473, 203, 485

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

2 x 3 x 257 x 59 x 473 x 203 x 485 = 4236774042270

Therefore, the lowest common multiple of 771,354,946,203,485 is 4236774042270.

LCM Formula to Find Lowest Common Multiple of 771,354,946,203,485

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.

771 x 354 x 946 x 203 x 485 = 25420644253620

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.

771 : 1, 3, 257, 771

354 : 1, 2, 3, 6, 59, 118, 177, 354

946 : 1, 2, 11, 22, 43, 86, 473, 946

203 : 1, 7, 29, 203

485 : 1, 5, 97, 485

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,354,946,203,485, is 1.

Now, the common factors can be found like this.

771:3x 257

354:2x 3x 59

946:2x 11x 43

203:7x 29

485:5x 97

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 25420644253620/(1x6)

LCM = 25420644253620/6

LCM = 4236774042270

Thus, we can understand that the LCM of 771,354,946,203,485 is 4236774042270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 771, 354, 946, 203, 485

1. What is the LCM of 771, 354, 946, 203, 485?

Answer: LCM of 771, 354, 946, 203, 485 is 4236774042270.

2. How to calculate the LCM of 771, 354, 946, 203, 485?

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 771, 354, 946, 203, 485.

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}.