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LCM of 347, 612, 648, 708, 134

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


Find the LCM of 347, 612, 648, 708, 134 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, 612, 648, 708, 134. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,612,648,708,134

Given numbers are 347,612,648,708,134

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

The LCM of 347,612,648,708,134 is 15110548056.

Find LCM of 347,612,648,708,134 with Prime Factorization


2 347, 612, 648, 708, 134
2 347, 306, 324, 354, 67
3 347, 153, 162, 177, 67
3 347, 51, 54, 59, 67
347, 17, 18, 59, 67

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

2 x 2 x 3 x 3 x 347 x 17 x 18 x 59 x 67 = 15110548056

Therefore, the lowest common multiple of 347,612,648,708,134 is 15110548056.

LCM Formula to Find Lowest Common Multiple of 347,612,648,708,134

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 612 x 648 x 708 x 134 = 13055513520384

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

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

134 : 1, 2, 67, 134

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,612,648,708,134, is 1.

Now, the common factors can be found like this.

347:347

612:2x 2x 3x 3x 17

648:2x 2x 2x 3x 3x 3x 3

708:2x 2x 3x 59

134:2x 67

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 2x 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 13055513520384/(1x864)

LCM = 13055513520384/864

LCM = 15110548056

Thus, we can understand that the LCM of 347,612,648,708,134 is 15110548056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 612, 648, 708, 134

1. What is the LCM of 347, 612, 648, 708, 134?

Answer: LCM of 347, 612, 648, 708, 134 is 15110548056.

2. How to calculate the LCM of 347, 612, 648, 708, 134?

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, 612, 648, 708, 134.

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}.