Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/751, 151/744, 186/457 quickly i.e. 983010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/751, 151/744, 186/457 is 983010.
LCM(70/751, 151/744, 186/457) = 983010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/751,151/744,186/457
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 70,151,186
Least Common Multiple of Numerators i.e. LCM of 70,151,186 is 983010.
GCF of Denominators means GCF of 751,744,457 as per the given fractions.
GCF of 751,744,457 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,151,186
2 | 70, 151, 186 |
35, 151, 93 |
∴ So the LCM of the given numbers is 2 x 35 x 151 x 93 = 983010
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 70,151,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,151,186) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(70,151,186) x common factors =1 x 2 = 2
LCM(70,151,186) = ( 70 × 151 × 186 ) / 2
LCM(70,151,186) = 1966020 / 2
LCM(70,151,186) = 983010
Lets's calculate GCF of 751,744,457
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 983010/1
Therefore the LCM of Fractions 70/751,151/744,186/457 is 983010
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Greatest Common Factor
We found the factors 751,744,457 . The biggest common factor number is the GCF number.
So the greatest common factor 751,744,457 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 70/751, 151/744, 186/457?
Answer: LCM of Numerators as per given numbers 70/751, 151/744, 186/457 is
LCM of Numerators i.e. for 70,151,186 is 983010
GCF of denominators i.e. for 751,744,457 is 1.
Thus, LCM of Fractions is 983010.Finally, LCM of Fractions for 70/751, 151/744, 186/457 is 983010.