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LCM of 947, 676, 515, 458

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


Find the LCM of 947, 676, 515, 458 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 947, 676, 515, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 947,676,515,458

Given numbers are 947,676,515,458

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

The LCM of 947,676,515,458 is 75498684820.

Find LCM of 947,676,515,458 with Prime Factorization


2 947, 676, 515, 458
947, 338, 515, 229

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

2 x 947 x 338 x 515 x 229 = 75498684820

Therefore, the lowest common multiple of 947,676,515,458 is 75498684820.

LCM Formula to Find Lowest Common Multiple of 947,676,515,458

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.

947 x 676 x 515 x 458 = 150997369640

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.

947 : 1, 947

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

515 : 1, 5, 103, 515

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,676,515,458, is 1.

Now, the common factors can be found like this.

947:947

676:2x 2x 13x 13

515:5x 103

458:2x 229

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 = 150997369640/(1x2)

LCM = 150997369640/2

LCM = 75498684820

Thus, we can understand that the LCM of 947,676,515,458 is 75498684820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 947, 676, 515, 458

1. What is the LCM of 947, 676, 515, 458?

Answer: LCM of 947, 676, 515, 458 is 75498684820.

2. How to calculate the LCM of 947, 676, 515, 458?

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 947, 676, 515, 458.

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}.