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LCM of 147, 678, 503, 811, 705

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


Find the LCM of 147, 678, 503, 811, 705 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 147, 678, 503, 811, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 147,678,503,811,705

Given numbers are 147,678,503,811,705

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

The LCM of 147,678,503,811,705 is 3184802279610.

Find LCM of 147,678,503,811,705 with Prime Factorization


3 147, 678, 503, 811, 705
49, 226, 503, 811, 235

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

3 x 49 x 226 x 503 x 811 x 235 = 3184802279610

Therefore, the lowest common multiple of 147,678,503,811,705 is 3184802279610.

LCM Formula to Find Lowest Common Multiple of 147,678,503,811,705

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.

147 x 678 x 503 x 811 x 705 = 28663220516490

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.

147 : 1, 3, 7, 21, 49, 147

678 : 1, 2, 3, 6, 113, 226, 339, 678

503 : 1, 503

811 : 1, 811

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,678,503,811,705, is 1.

Now, the common factors can be found like this.

147:3x 7x 7

678:2x 3x 113

503:503

811:811

705:3x 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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 28663220516490/(1x9)

LCM = 28663220516490/9

LCM = 3184802279610

Thus, we can understand that the LCM of 147,678,503,811,705 is 3184802279610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 147, 678, 503, 811, 705

1. What is the LCM of 147, 678, 503, 811, 705?

Answer: LCM of 147, 678, 503, 811, 705 is 3184802279610.

2. How to calculate the LCM of 147, 678, 503, 811, 705?

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 147, 678, 503, 811, 705.

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}.