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LCM of 746, 689, 848, 963, 950

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


Find the LCM of 746, 689, 848, 963, 950 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 746, 689, 848, 963, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 746,689,848,963,950

Given numbers are 746,689,848,963,950

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

The LCM of 746,689,848,963,950 is 1880909643600.

Find LCM of 746,689,848,963,950 with Prime Factorization


2 746, 689, 848, 963, 950
53 373, 689, 424, 963, 475
373, 13, 8, 963, 475

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

2 x 53 x 373 x 13 x 8 x 963 x 475 = 1880909643600

Therefore, the lowest common multiple of 746,689,848,963,950 is 1880909643600.

LCM Formula to Find Lowest Common Multiple of 746,689,848,963,950

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.

746 x 689 x 848 x 963 x 950 = 398752844443200

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.

746 : 1, 2, 373, 746

689 : 1, 13, 53, 689

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

963 : 1, 3, 9, 107, 321, 963

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,689,848,963,950, is 1.

Now, the common factors can be found like this.

746:2x 373

689:13x 53

848:2x 2x 2x 2x 53

963:3x 3x 107

950:2x 5x 5x 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 53 = 212

Therefore, the value for common factors is 212.

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 = 398752844443200/(1x212)

LCM = 398752844443200/212

LCM = 1880909643600

Thus, we can understand that the LCM of 746,689,848,963,950 is 1880909643600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 746, 689, 848, 963, 950

1. What is the LCM of 746, 689, 848, 963, 950?

Answer: LCM of 746, 689, 848, 963, 950 is 1880909643600.

2. How to calculate the LCM of 746, 689, 848, 963, 950?

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 746, 689, 848, 963, 950.

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}.