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LCM of 741, 208, 216, 475

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


Find the LCM of 741, 208, 216, 475 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 741, 208, 216, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,208,216,475

Given numbers are 741,208,216,475

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

The LCM of 741,208,216,475 is 2667600.

Find LCM of 741,208,216,475 with Prime Factorization


2 741, 208, 216, 475
2 741, 104, 108, 475
2 741, 52, 54, 475
3 741, 26, 27, 475
13 247, 26, 9, 475
19 19, 2, 9, 475
1, 2, 9, 25

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

2 x 2 x 2 x 3 x 13 x 19 x 1 x 2 x 9 x 25 = 2667600

Therefore, the lowest common multiple of 741,208,216,475 is 2667600.

LCM Formula to Find Lowest Common Multiple of 741,208,216,475

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.

741 x 208 x 216 x 475 = 15813532800

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,208,216,475, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

208:2x 2x 2x 2x 13

216:2x 2x 2x 3x 3x 3

475:5x 5x 19

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

2x 2x 2x 3x 13x 19 = 5928

Therefore, the value for common factors is 5928.

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 = 15813532800/(1x5928)

LCM = 15813532800/5928

LCM = 2667600

Thus, we can understand that the LCM of 741,208,216,475 is 2667600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 208, 216, 475

1. What is the LCM of 741, 208, 216, 475?

Answer: LCM of 741, 208, 216, 475 is 2667600.

2. How to calculate the LCM of 741, 208, 216, 475?

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 741, 208, 216, 475.

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}.