Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 970/641, 788/689, 508/706 quickly i.e. 48536860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 970/641, 788/689, 508/706 is 48536860.
LCM(970/641, 788/689, 508/706) = 48536860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 970/641,788/689,508/706
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 970,788,508
Least Common Multiple of Numerators i.e. LCM of 970,788,508 is 48536860.
GCF of Denominators means GCF of 641,689,706 as per the given fractions.
GCF of 641,689,706 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 970,788,508
2 | 970, 788, 508 |
2 | 485, 394, 254 |
485, 197, 127 |
∴ So the LCM of the given numbers is 2 x 2 x 485 x 197 x 127 = 48536860
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 970,788,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,788,508) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(970,788,508) x common factors =2 x 4 = 8
LCM(970,788,508) = ( 970 × 788 × 508 ) / 8
LCM(970,788,508) = 388294880 / 8
LCM(970,788,508) = 48536860
Lets's calculate GCF of 641,689,706
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48536860/1
Therefore the LCM of Fractions 970/641,788/689,508/706 is 48536860
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Greatest Common Factor
We found the factors 641,689,706 . The biggest common factor number is the GCF number.
So the greatest common factor 641,689,706 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 970/641, 788/689, 508/706?
Answer: LCM of Numerators as per given numbers 970/641, 788/689, 508/706 is
LCM of Numerators i.e. for 970,788,508 is 48536860
GCF of denominators i.e. for 641,689,706 is 1.
Thus, LCM of Fractions is 48536860.Finally, LCM of Fractions for 970/641, 788/689, 508/706 is 48536860.