Least Common Multiple of 970 and 978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 970 and 978 the smallest integer that is 474330 that is divisible by both numbers.

Least Common Multiple (LCM) of 970 and 978 is 474330.

LCM(970,978) = 474330

LCM of 970 and 978

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

LCM of:
and

Least Common Multiple of 970 and 978

LCM of 970 and 978 is 474330

Least common multiple can be found by multiplying the highest exponent prime factors of 970 and 978. First we will calculate the prime factors of 970 and 978.

Prime Factorization of 970


2 970
5 485
97 97
1

Prime factors of 970 are 2, 5,97. Prime factorization of 970 in exponential form is:

970 = 21×51×971

Prime Factorization of 978


2 978
3 489
163 163
1

Prime factors of 978 are 2, 3,163. Prime factorization of 978 in exponential form is:

978 = 21×31×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 970 and 978.

LCM(970,978) = 21×31×51×971×1631
LCM(970,978) = 474330

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Least Common Multiple of 970 and 978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 970 and 978, than apply into the LCM equation.

GCF(970,978) = 2
LCM(970,978) = ( 970 × 978) / 2
LCM(970,978) = 948660 / 2
LCM(970,978) = 474330

Properties of LCM 970 and 978

(i) The LCM of 978 and 970 is associative

LCM of 970 and 978 = LCM of 978 and 970

Related Least Common Multiples of 970

Related Least Common Multiples of 978

Frequently Asked Questions on LCM of 970 and 978

1. What is the LCM of 970 and 978?

Answer: LCM of 970 and 978 is 474330.

2. What are the Factors of 970?

Answer: Factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970. There are 8 integers that are factors of 970. The greatest factor of 970 is 970.

3. What are the Factors of 978?

Answer: Factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978. There are 8 integers that are factors of 978. The greatest factor of 978 is 978.

4. How to Find the LCM of 970 and 978?

Answer:

Least Common Multiple of 970 and 978 = 474330

Step 1: Find the prime factorization of 970

970 = 2 x 5 x 97

Step 2: Find the prime factorization of 978

978 = 2 x 3 x 163

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

LCM = 474330 = 2 x 3 x 5 x 97 x 163

Step 4: Therefore, the least common multiple of 970 and 978 is 474330.