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LCM of 374, 248, 612, 527, 843

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


Find the LCM of 374, 248, 612, 527, 843 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 374, 248, 612, 527, 843. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,248,612,527,843

Given numbers are 374,248,612,527,843

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

The LCM of 374,248,612,527,843 is 117284904.

Find LCM of 374,248,612,527,843 with Prime Factorization


2 374, 248, 612, 527, 843
2 187, 124, 306, 527, 843
3 187, 62, 153, 527, 843
17 187, 62, 51, 527, 281
31 11, 62, 3, 31, 281
11, 2, 3, 1, 281

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

2 x 2 x 3 x 17 x 31 x 11 x 2 x 3 x 1 x 281 = 117284904

Therefore, the lowest common multiple of 374,248,612,527,843 is 117284904.

LCM Formula to Find Lowest Common Multiple of 374,248,612,527,843

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.

374 x 248 x 612 x 527 x 843 = 25218130918464

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

248 : 1, 2, 4, 8, 31, 62, 124, 248

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

527 : 1, 17, 31, 527

843 : 1, 3, 281, 843

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,248,612,527,843, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

248:2x 2x 2x 31

612:2x 2x 3x 3x 17

527:17x 31

843:3x 281

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 3x 17x 17x 31 = 215016

Therefore, the value for common factors is 215016.

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 = 25218130918464/(1x215016)

LCM = 25218130918464/215016

LCM = 117284904

Thus, we can understand that the LCM of 374,248,612,527,843 is 117284904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 248, 612, 527, 843

1. What is the LCM of 374, 248, 612, 527, 843?

Answer: LCM of 374, 248, 612, 527, 843 is 117284904.

2. How to calculate the LCM of 374, 248, 612, 527, 843?

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 374, 248, 612, 527, 843.

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}.