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LCM of 703, 802, 797, 921, 600

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


Find the LCM of 703, 802, 797, 921, 600 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 703, 802, 797, 921, 600. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,802,797,921,600

Given numbers are 703,802,797,921,600

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

The LCM of 703,802,797,921,600 is 41385446482200.

Find LCM of 703,802,797,921,600 with Prime Factorization


2 703, 802, 797, 921, 600
3 703, 401, 797, 921, 300
703, 401, 797, 307, 100

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

2 x 3 x 703 x 401 x 797 x 307 x 100 = 41385446482200

Therefore, the lowest common multiple of 703,802,797,921,600 is 41385446482200.

LCM Formula to Find Lowest Common Multiple of 703,802,797,921,600

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.

703 x 802 x 797 x 921 x 600 = 248312678893200

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.

703 : 1, 19, 37, 703

802 : 1, 2, 401, 802

797 : 1, 797

921 : 1, 3, 307, 921

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,802,797,921,600, is 1.

Now, the common factors can be found like this.

703:19x 37

802:2x 401

797:797

921:3x 307

600:2x 2x 2x 3x 5x 5

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 248312678893200/(1x6)

LCM = 248312678893200/6

LCM = 41385446482200

Thus, we can understand that the LCM of 703,802,797,921,600 is 41385446482200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 802, 797, 921, 600

1. What is the LCM of 703, 802, 797, 921, 600?

Answer: LCM of 703, 802, 797, 921, 600 is 41385446482200.

2. How to calculate the LCM of 703, 802, 797, 921, 600?

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 703, 802, 797, 921, 600.

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}.