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LCM of 347, 694, 175, 472

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


Find the LCM of 347, 694, 175, 472 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 347, 694, 175, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,694,175,472

Given numbers are 347,694,175,472

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

The LCM of 347,694,175,472 is 28662200.

Find LCM of 347,694,175,472 with Prime Factorization


2 347, 694, 175, 472
347 347, 347, 175, 236
1, 1, 175, 236

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

2 x 347 x 1 x 1 x 175 x 236 = 28662200

Therefore, the lowest common multiple of 347,694,175,472 is 28662200.

LCM Formula to Find Lowest Common Multiple of 347,694,175,472

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.

347 x 694 x 175 x 472 = 19891566800

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.

347 : 1, 347

694 : 1, 2, 347, 694

175 : 1, 5, 7, 25, 35, 175

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,694,175,472, is 1.

Now, the common factors can be found like this.

347:347

694:2x 347

175:5x 5x 7

472:2x 2x 2x 59

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

2x 347 = 694

Therefore, the value for common factors is 694.

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 = 19891566800/(1x694)

LCM = 19891566800/694

LCM = 28662200

Thus, we can understand that the LCM of 347,694,175,472 is 28662200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 694, 175, 472

1. What is the LCM of 347, 694, 175, 472?

Answer: LCM of 347, 694, 175, 472 is 28662200.

2. How to calculate the LCM of 347, 694, 175, 472?

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 347, 694, 175, 472.

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}.