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LCM of 140, 868, 604, 764

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


Find the LCM of 140, 868, 604, 764 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 140, 868, 604, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 140,868,604,764

Given numbers are 140,868,604,764

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

The LCM of 140,868,604,764 is 125169940.

Find LCM of 140,868,604,764 with Prime Factorization


2 140, 868, 604, 764
2 70, 434, 302, 382
7 35, 217, 151, 191
5, 31, 151, 191

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

2 x 2 x 7 x 5 x 31 x 151 x 191 = 125169940

Therefore, the lowest common multiple of 140,868,604,764 is 125169940.

LCM Formula to Find Lowest Common Multiple of 140,868,604,764

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.

140 x 868 x 604 x 764 = 56076133120

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.

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

604 : 1, 2, 4, 151, 302, 604

764 : 1, 2, 4, 191, 382, 764

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,868,604,764, is 4.

Now, the common factors can be found like this.

140:2x 2x 5x 7

868:2x 2x 7x 31

604:2x 2x 151

764:2x 2x 191

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 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 56076133120/(4x112)

LCM = 56076133120/448

LCM = 125169940

Thus, we can understand that the LCM of 140,868,604,764 is 125169940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 140, 868, 604, 764

1. What is the LCM of 140, 868, 604, 764?

Answer: LCM of 140, 868, 604, 764 is 125169940.

2. How to calculate the LCM of 140, 868, 604, 764?

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 140, 868, 604, 764.

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}.