Least Common Multiple of 834 and 840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 834 and 840 the smallest integer that is 116760 that is divisible by both numbers.

Least Common Multiple (LCM) of 834 and 840 is 116760.

LCM(834,840) = 116760

LCM of 834 and 840

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 834 and 840

LCM of 834 and 840 is 116760

Least common multiple can be found by multiplying the highest exponent prime factors of 834 and 840. First we will calculate the prime factors of 834 and 840.

Prime Factorization of 834


2 834
3 417
139 139
1

Prime factors of 834 are 2, 3,139. Prime factorization of 834 in exponential form is:

834 = 21×31×1391

Prime Factorization of 840


2 840
2 420
2 210
3 105
5 35
7 7
1

Prime factors of 840 are 2, 3, 5,7. Prime factorization of 840 in exponential form is:

840 = 23×31×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 834 and 840.

LCM(834,840) = 23×31×51×71×1391
LCM(834,840) = 116760

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Least Common Multiple of 834 and 840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 834 and 840, than apply into the LCM equation.

GCF(834,840) = 6
LCM(834,840) = ( 834 × 840) / 6
LCM(834,840) = 700560 / 6
LCM(834,840) = 116760

Properties of LCM 834 and 840

(i) The LCM of 840 and 834 is associative

LCM of 834 and 840 = LCM of 840 and 834

Related Least Common Multiples of 834

Related Least Common Multiples of 840

Frequently Asked Questions on LCM of 834 and 840

1. What is the LCM of 834 and 840?

Answer: LCM of 834 and 840 is 116760.

2. What are the Factors of 834?

Answer: Factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834. There are 8 integers that are factors of 834. The greatest factor of 834 is 834.

3. What are the Factors of 840?

Answer: Factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840. There are 32 integers that are factors of 840. The greatest factor of 840 is 840.

4. How to Find the LCM of 834 and 840?

Answer:

Least Common Multiple of 834 and 840 = 116760

Step 1: Find the prime factorization of 834

834 = 2 x 3 x 139

Step 2: Find the prime factorization of 840

840 = 2 x 2 x 2 x 3 x 5 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 116760 = 2 x 2 x 2 x 3 x 5 x 7 x 139

Step 4: Therefore, the least common multiple of 834 and 840 is 116760.