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LCM of 616, 694, 931, 437

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


Find the LCM of 616, 694, 931, 437 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 616, 694, 931, 437. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,694,931,437

Given numbers are 616,694,931,437

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

The LCM of 616,694,931,437 is 653867368.

Find LCM of 616,694,931,437 with Prime Factorization


2 616, 694, 931, 437
7 308, 347, 931, 437
19 44, 347, 133, 437
44, 347, 7, 23

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

2 x 7 x 19 x 44 x 347 x 7 x 23 = 653867368

Therefore, the lowest common multiple of 616,694,931,437 is 653867368.

LCM Formula to Find Lowest Common Multiple of 616,694,931,437

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.

616 x 694 x 931 x 437 = 173928719888

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

694 : 1, 2, 347, 694

931 : 1, 7, 19, 49, 133, 931

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,694,931,437, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

694:2x 347

931:7x 7x 19

437:19x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 19 = 266

Therefore, the value for common factors is 266.

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 = 173928719888/(1x266)

LCM = 173928719888/266

LCM = 653867368

Thus, we can understand that the LCM of 616,694,931,437 is 653867368.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 694, 931, 437

1. What is the LCM of 616, 694, 931, 437?

Answer: LCM of 616, 694, 931, 437 is 653867368.

2. How to calculate the LCM of 616, 694, 931, 437?

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 616, 694, 931, 437.

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}.