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LCM of 538, 916, 210, 746, 767

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


Find the LCM of 538, 916, 210, 746, 767 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 538, 916, 210, 746, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 538,916,210,746,767

Given numbers are 538,916,210,746,767

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

The LCM of 538,916,210,746,767 is 7401866510220.

Find LCM of 538,916,210,746,767 with Prime Factorization


2 538, 916, 210, 746, 767
269, 458, 105, 373, 767

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

2 x 269 x 458 x 105 x 373 x 767 = 7401866510220

Therefore, the lowest common multiple of 538,916,210,746,767 is 7401866510220.

LCM Formula to Find Lowest Common Multiple of 538,916,210,746,767

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.

538 x 916 x 210 x 746 x 767 = 59214932081760

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.

538 : 1, 2, 269, 538

916 : 1, 2, 4, 229, 458, 916

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

746 : 1, 2, 373, 746

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,916,210,746,767, is 1.

Now, the common factors can be found like this.

538:2x 269

916:2x 2x 229

210:2x 3x 5x 7

746:2x 373

767:13x 59

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 2 = 8

Therefore, the value for common factors is 8.

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 = 59214932081760/(1x8)

LCM = 59214932081760/8

LCM = 7401866510220

Thus, we can understand that the LCM of 538,916,210,746,767 is 7401866510220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 538, 916, 210, 746, 767

1. What is the LCM of 538, 916, 210, 746, 767?

Answer: LCM of 538, 916, 210, 746, 767 is 7401866510220.

2. How to calculate the LCM of 538, 916, 210, 746, 767?

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 538, 916, 210, 746, 767.

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}.