LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 762, 719, 858, 260, 851

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


Find the LCM of 762, 719, 858, 260, 851 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 762, 719, 858, 260, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 762,719,858,260,851

Given numbers are 762,719,858,260,851

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

The LCM of 762,719,858,260,851 is 666729174540.

Find LCM of 762,719,858,260,851 with Prime Factorization


2 762, 719, 858, 260, 851
3 381, 719, 429, 130, 851
13 127, 719, 143, 130, 851
127, 719, 11, 10, 851

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

2 x 3 x 13 x 127 x 719 x 11 x 10 x 851 = 666729174540

Therefore, the lowest common multiple of 762,719,858,260,851 is 666729174540.

LCM Formula to Find Lowest Common Multiple of 762,719,858,260,851

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.

762 x 719 x 858 x 260 x 851 = 104009751228240

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

719 : 1, 719

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,719,858,260,851, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

719:719

858:2x 3x 11x 13

260:2x 2x 5x 13

851:23x 37

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 104009751228240/(1x156)

LCM = 104009751228240/156

LCM = 666729174540

Thus, we can understand that the LCM of 762,719,858,260,851 is 666729174540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 762, 719, 858, 260, 851

1. What is the LCM of 762, 719, 858, 260, 851?

Answer: LCM of 762, 719, 858, 260, 851 is 666729174540.

2. How to calculate the LCM of 762, 719, 858, 260, 851?

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 762, 719, 858, 260, 851.

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}.