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LCM of 907, 827, 851, 746, 714

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


Find the LCM of 907, 827, 851, 746, 714 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 907, 827, 851, 746, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,827,851,746,714

Given numbers are 907,827,851,746,714

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

The LCM of 907,827,851,746,714 is 170000187461958.

Find LCM of 907,827,851,746,714 with Prime Factorization


2 907, 827, 851, 746, 714
907, 827, 851, 373, 357

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

2 x 907 x 827 x 851 x 373 x 357 = 170000187461958

Therefore, the lowest common multiple of 907,827,851,746,714 is 170000187461958.

LCM Formula to Find Lowest Common Multiple of 907,827,851,746,714

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.

907 x 827 x 851 x 746 x 714 = 340000374923916

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.

907 : 1, 907

827 : 1, 827

851 : 1, 23, 37, 851

746 : 1, 2, 373, 746

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,827,851,746,714, is 1.

Now, the common factors can be found like this.

907:907

827:827

851:23x 37

746:2x 373

714:2x 3x 7x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 340000374923916/(1x2)

LCM = 340000374923916/2

LCM = 170000187461958

Thus, we can understand that the LCM of 907,827,851,746,714 is 170000187461958.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 827, 851, 746, 714

1. What is the LCM of 907, 827, 851, 746, 714?

Answer: LCM of 907, 827, 851, 746, 714 is 170000187461958.

2. How to calculate the LCM of 907, 827, 851, 746, 714?

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 907, 827, 851, 746, 714.

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}.