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LCM of 707, 803, 632, 876

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


Find the LCM of 707, 803, 632, 876 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 707, 803, 632, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 707,803,632,876

Given numbers are 707,803,632,876

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

The LCM of 707,803,632,876 is 1076399016.

Find LCM of 707,803,632,876 with Prime Factorization


2 707, 803, 632, 876
2 707, 803, 316, 438
73 707, 803, 158, 219
707, 11, 158, 3

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

2 x 2 x 73 x 707 x 11 x 158 x 3 = 1076399016

Therefore, the lowest common multiple of 707,803,632,876 is 1076399016.

LCM Formula to Find Lowest Common Multiple of 707,803,632,876

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.

707 x 803 x 632 x 876 = 314308512672

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.

707 : 1, 7, 101, 707

803 : 1, 11, 73, 803

632 : 1, 2, 4, 8, 79, 158, 316, 632

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,803,632,876, is 1.

Now, the common factors can be found like this.

707:7x 101

803:11x 73

632:2x 2x 2x 79

876:2x 2x 3x 73

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 73 = 292

Therefore, the value for common factors is 292.

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 = 314308512672/(1x292)

LCM = 314308512672/292

LCM = 1076399016

Thus, we can understand that the LCM of 707,803,632,876 is 1076399016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 707, 803, 632, 876

1. What is the LCM of 707, 803, 632, 876?

Answer: LCM of 707, 803, 632, 876 is 1076399016.

2. How to calculate the LCM of 707, 803, 632, 876?

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 707, 803, 632, 876.

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}.