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LCM of 118, 669, 746, 894, 776

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


Find the LCM of 118, 669, 746, 894, 776 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 118, 669, 746, 894, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 118,669,746,894,776

Given numbers are 118,669,746,894,776

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

The LCM of 118,669,746,894,776 is 1702295499192.

Find LCM of 118,669,746,894,776 with Prime Factorization


2 118, 669, 746, 894, 776
3 59, 669, 373, 447, 388
59, 223, 373, 149, 388

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

2 x 3 x 59 x 223 x 373 x 149 x 388 = 1702295499192

Therefore, the lowest common multiple of 118,669,746,894,776 is 1702295499192.

LCM Formula to Find Lowest Common Multiple of 118,669,746,894,776

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.

118 x 669 x 746 x 894 x 776 = 40855091980608

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.

118 : 1, 2, 59, 118

669 : 1, 3, 223, 669

746 : 1, 2, 373, 746

894 : 1, 2, 3, 6, 149, 298, 447, 894

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,669,746,894,776, is 1.

Now, the common factors can be found like this.

118:2x 59

669:3x 223

746:2x 373

894:2x 3x 149

776:2x 2x 2x 97

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 3 = 24

Therefore, the value for common factors is 24.

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 = 40855091980608/(1x24)

LCM = 40855091980608/24

LCM = 1702295499192

Thus, we can understand that the LCM of 118,669,746,894,776 is 1702295499192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 118, 669, 746, 894, 776

1. What is the LCM of 118, 669, 746, 894, 776?

Answer: LCM of 118, 669, 746, 894, 776 is 1702295499192.

2. How to calculate the LCM of 118, 669, 746, 894, 776?

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 118, 669, 746, 894, 776.

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}.