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LCM of 145, 240, 903, 214, 294

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


Find the LCM of 145, 240, 903, 214, 294 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 145, 240, 903, 214, 294. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 145,240,903,214,294

Given numbers are 145,240,903,214,294

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

The LCM of 145,240,903,214,294 is 1569125040.

Find LCM of 145,240,903,214,294 with Prime Factorization


2 145, 240, 903, 214, 294
3 145, 120, 903, 107, 147
5 145, 40, 301, 107, 49
7 29, 8, 301, 107, 49
29, 8, 43, 107, 7

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

2 x 3 x 5 x 7 x 29 x 8 x 43 x 107 x 7 = 1569125040

Therefore, the lowest common multiple of 145,240,903,214,294 is 1569125040.

LCM Formula to Find Lowest Common Multiple of 145,240,903,214,294

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.

145 x 240 x 903 x 214 x 294 = 1977097550400

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.

145 : 1, 5, 29, 145

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

903 : 1, 3, 7, 21, 43, 129, 301, 903

214 : 1, 2, 107, 214

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,240,903,214,294, is 1.

Now, the common factors can be found like this.

145:5x 29

240:2x 2x 2x 2x 3x 5

903:3x 7x 43

214:2x 107

294:2x 3x 7x 7

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 3x 5x 7 = 1260

Therefore, the value for common factors is 1260.

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 = 1977097550400/(1x1260)

LCM = 1977097550400/1260

LCM = 1569125040

Thus, we can understand that the LCM of 145,240,903,214,294 is 1569125040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 145, 240, 903, 214, 294

1. What is the LCM of 145, 240, 903, 214, 294?

Answer: LCM of 145, 240, 903, 214, 294 is 1569125040.

2. How to calculate the LCM of 145, 240, 903, 214, 294?

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 145, 240, 903, 214, 294.

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}.