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LCM of 715, 902, 552, 451, 134

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


Find the LCM of 715, 902, 552, 451, 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 715, 902, 552, 451, 134. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,902,552,451,134

Given numbers are 715,902,552,451,134

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

The LCM of 715,902,552,451,134 is 1084185960.

Find LCM of 715,902,552,451,134 with Prime Factorization


2 715, 902, 552, 451, 134
11 715, 451, 276, 451, 67
41 65, 41, 276, 41, 67
65, 1, 276, 1, 67

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

2 x 11 x 41 x 65 x 1 x 276 x 1 x 67 = 1084185960

Therefore, the lowest common multiple of 715,902,552,451,134 is 1084185960.

LCM Formula to Find Lowest Common Multiple of 715,902,552,451,134

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.

715 x 902 x 552 x 451 x 134 = 21514586190240

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

902 : 1, 2, 11, 22, 41, 82, 451, 902

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

451 : 1, 11, 41, 451

134 : 1, 2, 67, 134

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,902,552,451,134, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

902:2x 11x 41

552:2x 2x 2x 3x 23

451:11x 41

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 11x 11x 41 = 19844

Therefore, the value for common factors is 19844.

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 = 21514586190240/(1x19844)

LCM = 21514586190240/19844

LCM = 1084185960

Thus, we can understand that the LCM of 715,902,552,451,134 is 1084185960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 902, 552, 451, 134

1. What is the LCM of 715, 902, 552, 451, 134?

Answer: LCM of 715, 902, 552, 451, 134 is 1084185960.

2. How to calculate the LCM of 715, 902, 552, 451, 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 715, 902, 552, 451, 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}.