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LCM of 612, 354, 983, 546, 235

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


Find the LCM of 612, 354, 983, 546, 235 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 612, 354, 983, 546, 235. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,354,983,546,235

Given numbers are 612,354,983,546,235

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

The LCM of 612,354,983,546,235 is 759042697140.

Find LCM of 612,354,983,546,235 with Prime Factorization


2 612, 354, 983, 546, 235
3 306, 177, 983, 273, 235
102, 59, 983, 91, 235

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

2 x 3 x 102 x 59 x 983 x 91 x 235 = 759042697140

Therefore, the lowest common multiple of 612,354,983,546,235 is 759042697140.

LCM Formula to Find Lowest Common Multiple of 612,354,983,546,235

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.

612 x 354 x 983 x 546 x 235 = 27325537097040

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

983 : 1, 983

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

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,354,983,546,235, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

354:2x 3x 59

983:983

546:2x 3x 7x 13

235:5x 47

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 27325537097040/(1x36)

LCM = 27325537097040/36

LCM = 759042697140

Thus, we can understand that the LCM of 612,354,983,546,235 is 759042697140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 354, 983, 546, 235

1. What is the LCM of 612, 354, 983, 546, 235?

Answer: LCM of 612, 354, 983, 546, 235 is 759042697140.

2. How to calculate the LCM of 612, 354, 983, 546, 235?

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 612, 354, 983, 546, 235.

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}.