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LCM of 347, 364, 919, 841, 954

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


Find the LCM of 347, 364, 919, 841, 954 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, 364, 919, 841, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 347,364,919,841,954

Given numbers are 347,364,919,841,954

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

The LCM of 347,364,919,841,954 is 46565121949164.

Find LCM of 347,364,919,841,954 with Prime Factorization


2 347, 364, 919, 841, 954
347, 182, 919, 841, 477

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

2 x 347 x 182 x 919 x 841 x 477 = 46565121949164

Therefore, the lowest common multiple of 347,364,919,841,954 is 46565121949164.

LCM Formula to Find Lowest Common Multiple of 347,364,919,841,954

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 364 x 919 x 841 x 954 = 93130243898328

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

919 : 1, 919

841 : 1, 29, 841

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,364,919,841,954, is 1.

Now, the common factors can be found like this.

347:347

364:2x 2x 7x 13

919:919

841:29x 29

954:2x 3x 3x 53

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 = 93130243898328/(1x2)

LCM = 93130243898328/2

LCM = 46565121949164

Thus, we can understand that the LCM of 347,364,919,841,954 is 46565121949164.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 347, 364, 919, 841, 954

1. What is the LCM of 347, 364, 919, 841, 954?

Answer: LCM of 347, 364, 919, 841, 954 is 46565121949164.

2. How to calculate the LCM of 347, 364, 919, 841, 954?

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, 364, 919, 841, 954.

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}.