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LCM of 101, 121, 909, 688

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


Find the LCM of 101, 121, 909, 688 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 101, 121, 909, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 101,121,909,688

Given numbers are 101,121,909,688

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

The LCM of 101,121,909,688 is 75672432.

Find LCM of 101,121,909,688 with Prime Factorization


101 101, 121, 909, 688
1, 121, 9, 688

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

101 x 1 x 121 x 9 x 688 = 75672432

Therefore, the lowest common multiple of 101,121,909,688 is 75672432.

LCM Formula to Find Lowest Common Multiple of 101,121,909,688

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.

101 x 121 x 909 x 688 = 7642915632

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.

101 : 1, 101

121 : 1, 11, 121

909 : 1, 3, 9, 101, 303, 909

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,121,909,688, is 1.

Now, the common factors can be found like this.

101:101

121:11x 11

909:3x 3x 101

688:2x 2x 2x 2x 43

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

101 = 101

Therefore, the value for common factors is 101.

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 = 7642915632/(1x101)

LCM = 7642915632/101

LCM = 75672432

Thus, we can understand that the LCM of 101,121,909,688 is 75672432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 101, 121, 909, 688

1. What is the LCM of 101, 121, 909, 688?

Answer: LCM of 101, 121, 909, 688 is 75672432.

2. How to calculate the LCM of 101, 121, 909, 688?

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 101, 121, 909, 688.

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}.