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LCM of 347, 789, 494, 688

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


Find the LCM of 347, 789, 494, 688 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, 789, 494, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,789,494,688

Given numbers are 347,789,494,688

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

The LCM of 347,789,494,688 is 46525587888.

Find LCM of 347,789,494,688 with Prime Factorization


2 347, 789, 494, 688
347, 789, 247, 344

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

2 x 347 x 789 x 247 x 344 = 46525587888

Therefore, the lowest common multiple of 347,789,494,688 is 46525587888.

LCM Formula to Find Lowest Common Multiple of 347,789,494,688

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 789 x 494 x 688 = 93051175776

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

789 : 1, 3, 263, 789

494 : 1, 2, 13, 19, 26, 38, 247, 494

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,789,494,688, is 1.

Now, the common factors can be found like this.

347:347

789:3x 263

494:2x 13x 19

688:2x 2x 2x 2x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 93051175776/(1x2)

LCM = 93051175776/2

LCM = 46525587888

Thus, we can understand that the LCM of 347,789,494,688 is 46525587888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 789, 494, 688

1. What is the LCM of 347, 789, 494, 688?

Answer: LCM of 347, 789, 494, 688 is 46525587888.

2. How to calculate the LCM of 347, 789, 494, 688?

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, 789, 494, 688.

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}.