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LCM of 917, 509, 602, 961

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


Find the LCM of 917, 509, 602, 961 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 917, 509, 602, 961. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,509,602,961

Given numbers are 917,509,602,961

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

The LCM of 917,509,602,961 is 38575268438.

Find LCM of 917,509,602,961 with Prime Factorization


7 917, 509, 602, 961
131, 509, 86, 961

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

7 x 131 x 509 x 86 x 961 = 38575268438

Therefore, the lowest common multiple of 917,509,602,961 is 38575268438.

LCM Formula to Find Lowest Common Multiple of 917,509,602,961

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.

917 x 509 x 602 x 961 = 270026879066

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.

917 : 1, 7, 131, 917

509 : 1, 509

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

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,509,602,961, is 1.

Now, the common factors can be found like this.

917:7x 131

509:509

602:2x 7x 43

961:31x 31

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

7 = 7

Therefore, the value for common factors is 7.

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 = 270026879066/(1x7)

LCM = 270026879066/7

LCM = 38575268438

Thus, we can understand that the LCM of 917,509,602,961 is 38575268438.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 509, 602, 961

1. What is the LCM of 917, 509, 602, 961?

Answer: LCM of 917, 509, 602, 961 is 38575268438.

2. How to calculate the LCM of 917, 509, 602, 961?

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 917, 509, 602, 961.

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}.