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LCM of 902, 401, 802, 292, 690

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


Find the LCM of 902, 401, 802, 292, 690 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 902, 401, 802, 292, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,401,802,292,690

Given numbers are 902,401,802,292,690

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

The LCM of 902,401,802,292,690 is 18218929740.

Find LCM of 902,401,802,292,690 with Prime Factorization


2 902, 401, 802, 292, 690
401 451, 401, 401, 146, 345
451, 1, 1, 146, 345

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

2 x 401 x 451 x 1 x 1 x 146 x 345 = 18218929740

Therefore, the lowest common multiple of 902,401,802,292,690 is 18218929740.

LCM Formula to Find Lowest Common Multiple of 902,401,802,292,690

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.

902 x 401 x 802 x 292 x 690 = 58446326605920

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

401 : 1, 401

802 : 1, 2, 401, 802

292 : 1, 2, 4, 73, 146, 292

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,401,802,292,690, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

401:401

802:2x 401

292:2x 2x 73

690:2x 3x 5x 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 2x 2x 401 = 3208

Therefore, the value for common factors is 3208.

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 = 58446326605920/(1x3208)

LCM = 58446326605920/3208

LCM = 18218929740

Thus, we can understand that the LCM of 902,401,802,292,690 is 18218929740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 401, 802, 292, 690

1. What is the LCM of 902, 401, 802, 292, 690?

Answer: LCM of 902, 401, 802, 292, 690 is 18218929740.

2. How to calculate the LCM of 902, 401, 802, 292, 690?

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 902, 401, 802, 292, 690.

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}.