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LCM of 958, 847, 720, 942, 134

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


Find the LCM of 958, 847, 720, 942, 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 958, 847, 720, 942, 134. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,847,720,942,134

Given numbers are 958,847,720,942,134

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

The LCM of 958,847,720,942,134 is 3072740433840.

Find LCM of 958,847,720,942,134 with Prime Factorization


2 958, 847, 720, 942, 134
3 479, 847, 360, 471, 67
479, 847, 120, 157, 67

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

2 x 3 x 479 x 847 x 120 x 157 x 67 = 3072740433840

Therefore, the lowest common multiple of 958,847,720,942,134 is 3072740433840.

LCM Formula to Find Lowest Common Multiple of 958,847,720,942,134

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.

958 x 847 x 720 x 942 x 134 = 73745770412160

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.

958 : 1, 2, 479, 958

847 : 1, 7, 11, 77, 121, 847

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

942 : 1, 2, 3, 6, 157, 314, 471, 942

134 : 1, 2, 67, 134

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,847,720,942,134, is 1.

Now, the common factors can be found like this.

958:2x 479

847:7x 11x 11

720:2x 2x 2x 2x 3x 3x 5

942:2x 3x 157

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 3 = 24

Therefore, the value for common factors is 24.

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 = 73745770412160/(1x24)

LCM = 73745770412160/24

LCM = 3072740433840

Thus, we can understand that the LCM of 958,847,720,942,134 is 3072740433840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 847, 720, 942, 134

1. What is the LCM of 958, 847, 720, 942, 134?

Answer: LCM of 958, 847, 720, 942, 134 is 3072740433840.

2. How to calculate the LCM of 958, 847, 720, 942, 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 958, 847, 720, 942, 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}.