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LCM of 848, 349, 703, 776, 931

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


Find the LCM of 848, 349, 703, 776, 931 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 848, 349, 703, 776, 931. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 848,349,703,776,931

Given numbers are 848,349,703,776,931

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

The LCM of 848,349,703,776,931 is 988881878768.

Find LCM of 848,349,703,776,931 with Prime Factorization


2 848, 349, 703, 776, 931
2 424, 349, 703, 388, 931
2 212, 349, 703, 194, 931
19 106, 349, 703, 97, 931
106, 349, 37, 97, 49

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

2 x 2 x 2 x 19 x 106 x 349 x 37 x 97 x 49 = 988881878768

Therefore, the lowest common multiple of 848,349,703,776,931 is 988881878768.

LCM Formula to Find Lowest Common Multiple of 848,349,703,776,931

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.

848 x 349 x 703 x 776 x 931 = 150310045572736

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.

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

349 : 1, 349

703 : 1, 19, 37, 703

776 : 1, 2, 4, 8, 97, 194, 388, 776

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,349,703,776,931, is 1.

Now, the common factors can be found like this.

848:2x 2x 2x 2x 53

349:349

703:19x 37

776:2x 2x 2x 97

931:7x 7x 19

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 19 = 152

Therefore, the value for common factors is 152.

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 = 150310045572736/(1x152)

LCM = 150310045572736/152

LCM = 988881878768

Thus, we can understand that the LCM of 848,349,703,776,931 is 988881878768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 848, 349, 703, 776, 931

1. What is the LCM of 848, 349, 703, 776, 931?

Answer: LCM of 848, 349, 703, 776, 931 is 988881878768.

2. How to calculate the LCM of 848, 349, 703, 776, 931?

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 848, 349, 703, 776, 931.

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}.