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 355, 889, 762, 715

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


Find the LCM of 355, 889, 762, 715 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 355, 889, 762, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 355,889,762,715

Given numbers are 355,889,762,715

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

The LCM of 355,889,762,715 is 270780510.

Find LCM of 355,889,762,715 with Prime Factorization


5 355, 889, 762, 715
127 71, 889, 762, 143
71, 7, 6, 143

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

5 x 127 x 71 x 7 x 6 x 143 = 270780510

Therefore, the lowest common multiple of 355,889,762,715 is 270780510.

LCM Formula to Find Lowest Common Multiple of 355,889,762,715

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.

355 x 889 x 762 x 715 = 171945623850

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.

355 : 1, 5, 71, 355

889 : 1, 7, 127, 889

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,889,762,715, is 1.

Now, the common factors can be found like this.

355:5x 71

889:7x 127

762:2x 3x 127

715:5x 11x 13

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

5x 127 = 635

Therefore, the value for common factors is 635.

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 = 171945623850/(1x635)

LCM = 171945623850/635

LCM = 270780510

Thus, we can understand that the LCM of 355,889,762,715 is 270780510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 355, 889, 762, 715

1. What is the LCM of 355, 889, 762, 715?

Answer: LCM of 355, 889, 762, 715 is 270780510.

2. How to calculate the LCM of 355, 889, 762, 715?

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 355, 889, 762, 715.

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}.