Least Common Multiple of 978, 1029
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 978, 1029 i.e. 335454 smallest integer divisible by all numbers.
Least common multiple (LCM) of 978, 1029 is 335454.
LCM(978, 1029) = 335454
LCM of 978, 1029
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 978, 1029 by common division method
- Least Common Multiple of 978, 1029 with GCF Formula
Least Common Multiple (LCM) of 978,1029 is 335454
| 3 | 978, 1029 |
| 326, 343 |
∴ So the LCM of the given numbers is 3 x 326 x 343 = 335454
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 978,1029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,1029) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(978,1029) x common factors =3 x 1 = 3
LCM(978,1029) = ( 978 × 1029 ) / 3
LCM(978,1029) = 1006362 / 3
LCM(978,1029) = 335454
∴ Least Common Multiple of 978,1029 is 335454
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 978, 1029
1. What is the LCM of 978, 1029?
Answer: LCM of 978, 1029 is 335454.
2. What are the Factors of 335454?
Answer: Factors of 335454 are . There are integers that are factors of 335454
3. How to Find the LCM of 978, 1029 ?
Least Common Multiple of 978, 1029.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(978, 1029) = 2 x 3 x 7 x 7 x 7 x 163 = 335454.