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LCM of 967, 541, 551, 658, 244

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


Find the LCM of 967, 541, 551, 658, 244 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 967, 541, 551, 658, 244. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,541,551,658,244

Given numbers are 967,541,551,658,244

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

The LCM of 967,541,551,658,244 is 23139877863172.

Find LCM of 967,541,551,658,244 with Prime Factorization


2 967, 541, 551, 658, 244
967, 541, 551, 329, 122

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

2 x 967 x 541 x 551 x 329 x 122 = 23139877863172

Therefore, the lowest common multiple of 967,541,551,658,244 is 23139877863172.

LCM Formula to Find Lowest Common Multiple of 967,541,551,658,244

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.

967 x 541 x 551 x 658 x 244 = 46279755726344

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.

967 : 1, 967

541 : 1, 541

551 : 1, 19, 29, 551

658 : 1, 2, 7, 14, 47, 94, 329, 658

244 : 1, 2, 4, 61, 122, 244

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,541,551,658,244, is 1.

Now, the common factors can be found like this.

967:967

541:541

551:19x 29

658:2x 7x 47

244:2x 2x 61

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 = 46279755726344/(1x2)

LCM = 46279755726344/2

LCM = 23139877863172

Thus, we can understand that the LCM of 967,541,551,658,244 is 23139877863172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 541, 551, 658, 244

1. What is the LCM of 967, 541, 551, 658, 244?

Answer: LCM of 967, 541, 551, 658, 244 is 23139877863172.

2. How to calculate the LCM of 967, 541, 551, 658, 244?

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 967, 541, 551, 658, 244.

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}.