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LCM of 613, 848, 293, 901, 546

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


Find the LCM of 613, 848, 293, 901, 546 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 613, 848, 293, 901, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 613,848,293,901,546

Given numbers are 613,848,293,901,546

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

The LCM of 613,848,293,901,546 is 706863432912.

Find LCM of 613,848,293,901,546 with Prime Factorization


2 613, 848, 293, 901, 546
53 613, 424, 293, 901, 273
613, 8, 293, 17, 273

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

2 x 53 x 613 x 8 x 293 x 17 x 273 = 706863432912

Therefore, the lowest common multiple of 613,848,293,901,546 is 706863432912.

LCM Formula to Find Lowest Common Multiple of 613,848,293,901,546

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.

613 x 848 x 293 x 901 x 546 = 74927523888672

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.

613 : 1, 613

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

293 : 1, 293

901 : 1, 17, 53, 901

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,848,293,901,546, is 1.

Now, the common factors can be found like this.

613:613

848:2x 2x 2x 2x 53

293:293

901:17x 53

546:2x 3x 7x 13

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 74927523888672/(1x106)

LCM = 74927523888672/106

LCM = 706863432912

Thus, we can understand that the LCM of 613,848,293,901,546 is 706863432912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 613, 848, 293, 901, 546

1. What is the LCM of 613, 848, 293, 901, 546?

Answer: LCM of 613, 848, 293, 901, 546 is 706863432912.

2. How to calculate the LCM of 613, 848, 293, 901, 546?

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 613, 848, 293, 901, 546.

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}.