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 410, 692, 845, 791, 980 i.e. 132745920580 smallest integer divisible by all numbers.
Least common multiple (LCM) of 410, 692, 845, 791, 980 is 132745920580.
LCM(410, 692, 845, 791, 980) = 132745920580
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 410, 692, 845, 791, 980 |
2 | 205, 346, 845, 791, 490 |
5 | 205, 173, 845, 791, 245 |
7 | 41, 173, 169, 791, 49 |
41, 173, 169, 113, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 41 x 173 x 169 x 113 x 7 = 132745920580
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 410,692,845,791,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,692,845,791,980) = 1
common factors(in case of two or more numbers have common factors) = 1400
GCF(410,692,845,791,980) x common factors =1 x 1400 = 1400
LCM(410,692,845,791,980) = ( 410 × 692 × 845 × 791 × 980 ) / 1400
LCM(410,692,845,791,980) = 185844288812000 / 1400
LCM(410,692,845,791,980) = 132745920580
∴ Least Common Multiple of 410,692,845,791,980 is 132745920580
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 410, 692, 845, 791, 980?
Answer: LCM of 410, 692, 845, 791, 980 is 132745920580.
2. What are the Factors of 132745920580?
Answer: Factors of 132745920580 are . There are integers that are factors of 132745920580
3. How to Find the LCM of 410, 692, 845, 791, 980 ?
Least Common Multiple of 410, 692, 845, 791, 980.
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(410, 692, 845, 791, 980) = 2 x 2 x 5 x 7 x 7 x 13 x 13 x 41 x 113 x 173 = 132745920580.