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 991, 746, 756, 763, 945 i.e. 152300308860 smallest integer divisible by all numbers.
Least common multiple (LCM) of 991, 746, 756, 763, 945 is 152300308860.
LCM(991, 746, 756, 763, 945) = 152300308860
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 991, 746, 756, 763, 945 |
3 | 991, 373, 378, 763, 945 |
3 | 991, 373, 126, 763, 315 |
3 | 991, 373, 42, 763, 105 |
7 | 991, 373, 14, 763, 35 |
991, 373, 2, 109, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 991 x 373 x 2 x 109 x 5 = 152300308860
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 991,746,756,763,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,746,756,763,945) = 1
common factors(in case of two or more numbers have common factors) = 2646
GCF(991,746,756,763,945) x common factors =1 x 2646 = 2646
LCM(991,746,756,763,945) = ( 991 × 746 × 756 × 763 × 945 ) / 2646
LCM(991,746,756,763,945) = 402986617243560 / 2646
LCM(991,746,756,763,945) = 152300308860
∴ Least Common Multiple of 991,746,756,763,945 is 152300308860
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 991, 746, 756, 763, 945?
Answer: LCM of 991, 746, 756, 763, 945 is 152300308860.
2. What are the Factors of 152300308860?
Answer: Factors of 152300308860 are . There are integers that are factors of 152300308860
3. How to Find the LCM of 991, 746, 756, 763, 945 ?
Least Common Multiple of 991, 746, 756, 763, 945.
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(991, 746, 756, 763, 945) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 109 x 373 x 991 = 152300308860.