Least Common Multiple of 2825/751, 5742/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2825/751, 5742/105 quickly i.e. 16221150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2825/751, 5742/105 is 16221150.

LCM(2825/751, 5742/105) = 16221150

LCM of 2825/751, 5742/105

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 2825/751,5742/105

Given numbers are 2825/751,5742/105

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 2825,5742

Least Common Multiple of Numerators i.e. LCM of 2825,5742 is 16221150.

GCF of Denominators means GCF of 751,105 as per the given fractions.

GCF of 751,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2825,5742

LCM of Fractions 2825/751,5742/105 is 16221150

Given numbers has no common factors except 1. So, there LCM is their product i.e 16221150

Least Common Multiple of 2825,5742 with GCF Formula

Least Common Multiple of 2825,5742 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 2825,5742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2825,5742) = 1

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

GCF(2825,5742) x common factors =1 x 1 = 1

LCM(2825,5742) = ( 2825 × 5742 ) / 1

LCM(2825,5742) = 16221150 / 1

LCM(2825,5742) = 16221150


Lets's calculate GCF of 751,105

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16221150/1

Therefore the LCM of Fractions 2825/751,5742/105 is 16221150

Greatest Common Factor of 751,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,105 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 751,105 . The biggest common factor number is the GCF number.
So the greatest common factor 751,105 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2825/751, 5742/105

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 2825/751, 5742/105?

Answer: LCM of Numerators as per given numbers 2825/751, 5742/105 is

LCM of Numerators i.e. for 2825,5742 is 16221150

GCF of denominators i.e. for 751,105 is 1.

Thus, LCM of Fractions is 16221150.Finally, LCM of Fractions for 2825/751, 5742/105 is 16221150.