Least Common Multiple of 51/110, 463/626, 914/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/110, 463/626, 914/750 quickly i.e. 10791141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/110, 463/626, 914/750 is 10791141.

LCM(51/110, 463/626, 914/750) = 10791141

LCM of 51/110, 463/626, 914/750

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 51/110,463/626,914/750

Given numbers are 51/110,463/626,914/750

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 51,463,914

Least Common Multiple of Numerators i.e. LCM of 51,463,914 is 21582282.

GCF of Denominators means GCF of 110,626,750 as per the given fractions.

GCF of 110,626,750 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,463,914

LCM of Fractions 51/110,463/626,914/750 is 10791141

Given numbers has no common factors except 1. So, there LCM is their product i.e 21582282

Least Common Multiple of 51,463,914 with GCF Formula

Least Common Multiple of 51,463,914 with GCF Formula

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 51,463,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,463,914) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(51,463,914) x common factors =1 x 1 = 1

LCM(51,463,914) = ( 51 × 463 × 914 ) / 1

LCM(51,463,914) = 21582282 / 1

LCM(51,463,914) = 21582282


Lets's calculate GCF of 110,626,750

2 110, 626, 750
55, 313, 375

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21582282/2

Therefore the LCM of Fractions 51/110,463/626,914/750 is 10791141

Greatest Common Factor of 110,626,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,626,750 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 110,626,750 . The biggest common factor number is the GCF number.
So the greatest common factor 110,626,750 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 51/110, 463/626, 914/750

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 51/110, 463/626, 914/750?

Answer: LCM of Numerators as per given numbers 51/110, 463/626, 914/750 is

LCM of Numerators i.e. for 51,463,914 is 21582282

GCF of denominators i.e. for 110,626,750 is 2.

Thus, LCM of Fractions is 10791141.Finally, LCM of Fractions for 51/110, 463/626, 914/750 is 10791141.