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LCM of 807, 473, 188, 989

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


Find the LCM of 807, 473, 188, 989 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 807, 473, 188, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 807,473,188,989

Given numbers are 807,473,188,989

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

The LCM of 807,473,188,989 is 1650518364.

Find LCM of 807,473,188,989 with Prime Factorization


43 807, 473, 188, 989
807, 11, 188, 23

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

43 x 807 x 11 x 188 x 23 = 1650518364

Therefore, the lowest common multiple of 807,473,188,989 is 1650518364.

LCM Formula to Find Lowest Common Multiple of 807,473,188,989

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.

807 x 473 x 188 x 989 = 70972289652

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.

807 : 1, 3, 269, 807

473 : 1, 11, 43, 473

188 : 1, 2, 4, 47, 94, 188

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,473,188,989, is 1.

Now, the common factors can be found like this.

807:3x 269

473:11x 43

188:2x 2x 47

989:23x 43

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

43 = 43

Therefore, the value for common factors is 43.

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 = 70972289652/(1x43)

LCM = 70972289652/43

LCM = 1650518364

Thus, we can understand that the LCM of 807,473,188,989 is 1650518364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 807, 473, 188, 989

1. What is the LCM of 807, 473, 188, 989?

Answer: LCM of 807, 473, 188, 989 is 1650518364.

2. How to calculate the LCM of 807, 473, 188, 989?

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 807, 473, 188, 989.

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}.