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LCM of 746, 973, 424, 551

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


Find the LCM of 746, 973, 424, 551 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, 973, 424, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 746,973,424,551

Given numbers are 746,973,424,551

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

The LCM of 746,973,424,551 is 84788924696.

Find LCM of 746,973,424,551 with Prime Factorization


2 746, 973, 424, 551
373, 973, 212, 551

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

2 x 373 x 973 x 212 x 551 = 84788924696

Therefore, the lowest common multiple of 746,973,424,551 is 84788924696.

LCM Formula to Find Lowest Common Multiple of 746,973,424,551

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 973 x 424 x 551 = 169577849392

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

973 : 1, 7, 139, 973

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

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,973,424,551, is 1.

Now, the common factors can be found like this.

746:2x 373

973:7x 139

424:2x 2x 2x 53

551:19x 29

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 = 169577849392/(1x2)

LCM = 169577849392/2

LCM = 84788924696

Thus, we can understand that the LCM of 746,973,424,551 is 84788924696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 746, 973, 424, 551

1. What is the LCM of 746, 973, 424, 551?

Answer: LCM of 746, 973, 424, 551 is 84788924696.

2. How to calculate the LCM of 746, 973, 424, 551?

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, 973, 424, 551.

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}.