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LCM of 602, 802, 961, 175

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


Find the LCM of 602, 802, 961, 175 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 602, 802, 961, 175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 602,802,961,175

Given numbers are 602,802,961,175

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

The LCM of 602,802,961,175 is 5799683050.

Find LCM of 602,802,961,175 with Prime Factorization


2 602, 802, 961, 175
7 301, 401, 961, 175
43, 401, 961, 25

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

2 x 7 x 43 x 401 x 961 x 25 = 5799683050

Therefore, the lowest common multiple of 602,802,961,175 is 5799683050.

LCM Formula to Find Lowest Common Multiple of 602,802,961,175

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.

602 x 802 x 961 x 175 = 81195562700

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.

602 : 1, 2, 7, 14, 43, 86, 301, 602

802 : 1, 2, 401, 802

961 : 1, 31, 961

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,802,961,175, is 1.

Now, the common factors can be found like this.

602:2x 7x 43

802:2x 401

961:31x 31

175:5x 5x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 81195562700/(1x14)

LCM = 81195562700/14

LCM = 5799683050

Thus, we can understand that the LCM of 602,802,961,175 is 5799683050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 602, 802, 961, 175

1. What is the LCM of 602, 802, 961, 175?

Answer: LCM of 602, 802, 961, 175 is 5799683050.

2. How to calculate the LCM of 602, 802, 961, 175?

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 602, 802, 961, 175.

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}.