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LCM of 854, 688, 865, 740, 776

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


Find the LCM of 854, 688, 865, 740, 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 854, 688, 865, 740, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,688,865,740,776

Given numbers are 854,688,865,740,776

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

The LCM of 854,688,865,740,776 is 912023185360.

Find LCM of 854,688,865,740,776 with Prime Factorization


2 854, 688, 865, 740, 776
2 427, 344, 865, 370, 388
2 427, 172, 865, 185, 194
5 427, 86, 865, 185, 97
427, 86, 173, 37, 97

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

2 x 2 x 2 x 5 x 427 x 86 x 173 x 37 x 97 = 912023185360

Therefore, the lowest common multiple of 854,688,865,740,776 is 912023185360.

LCM Formula to Find Lowest Common Multiple of 854,688,865,740,776

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.

854 x 688 x 865 x 740 x 776 = 291847419315200

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

865 : 1, 5, 173, 865

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 854,688,865,740,776, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

688:2x 2x 2x 2x 43

865:5x 173

740:2x 2x 5x 37

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 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 291847419315200/(1x320)

LCM = 291847419315200/320

LCM = 912023185360

Thus, we can understand that the LCM of 854,688,865,740,776 is 912023185360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 688, 865, 740, 776

1. What is the LCM of 854, 688, 865, 740, 776?

Answer: LCM of 854, 688, 865, 740, 776 is 912023185360.

2. How to calculate the LCM of 854, 688, 865, 740, 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 854, 688, 865, 740, 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}.