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LCM of 534, 771, 504, 208, 149

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


Find the LCM of 534, 771, 504, 208, 149 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 534, 771, 504, 208, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 534,771,504,208,149

Given numbers are 534,771,504,208,149

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

The LCM of 534,771,504,208,149 is 44659441008.

Find LCM of 534,771,504,208,149 with Prime Factorization


2 534, 771, 504, 208, 149
2 267, 771, 252, 104, 149
2 267, 771, 126, 52, 149
3 267, 771, 63, 26, 149
89, 257, 21, 26, 149

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

2 x 2 x 2 x 3 x 89 x 257 x 21 x 26 x 149 = 44659441008

Therefore, the lowest common multiple of 534,771,504,208,149 is 44659441008.

LCM Formula to Find Lowest Common Multiple of 534,771,504,208,149

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.

534 x 771 x 504 x 208 x 149 = 6430959505152

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.

534 : 1, 2, 3, 6, 89, 178, 267, 534

771 : 1, 3, 257, 771

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,771,504,208,149, is 1.

Now, the common factors can be found like this.

534:2x 3x 89

771:3x 257

504:2x 2x 2x 3x 3x 7

208:2x 2x 2x 2x 13

149:149

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 6430959505152/(1x144)

LCM = 6430959505152/144

LCM = 44659441008

Thus, we can understand that the LCM of 534,771,504,208,149 is 44659441008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 534, 771, 504, 208, 149

1. What is the LCM of 534, 771, 504, 208, 149?

Answer: LCM of 534, 771, 504, 208, 149 is 44659441008.

2. How to calculate the LCM of 534, 771, 504, 208, 149?

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 534, 771, 504, 208, 149.

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}.