Least Common Multiple of 29/949, 3411/2600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/949, 3411/2600 quickly i.e. 98919/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/949, 3411/2600 is 98919/13.

LCM(29/949, 3411/2600) = 98919/13

LCM of 29/949, 3411/2600

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 29/949,3411/2600

Given numbers are 29/949,3411/2600

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 29,3411

Least Common Multiple of Numerators i.e. LCM of 29,3411 is 98919.

GCF of Denominators means GCF of 949,2600 as per the given fractions.

GCF of 949,2600 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,3411

LCM of Fractions 29/949,3411/2600 is 98919/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 98919

Least Common Multiple of 29,3411 with GCF Formula

Least Common Multiple of 29,3411 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 29,3411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,3411) = 1

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

GCF(29,3411) x common factors =1 x 1 = 1

LCM(29,3411) = ( 29 × 3411 ) / 1

LCM(29,3411) = 98919 / 1

LCM(29,3411) = 98919


Lets's calculate GCF of 949,2600

13 949, 2600
73, 200

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98919/13

Therefore the LCM of Fractions 29/949,3411/2600 is 98919/13

Greatest Common Factor of 949,2600 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,2600 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 2600

List of positive integer factors of 2600 that divides 2600 without a remainder.

1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600

Greatest Common Factor

We found the factors 949,2600 . The biggest common factor number is the GCF number.
So the greatest common factor 949,2600 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/949, 3411/2600

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 29/949, 3411/2600?

Answer: LCM of Numerators as per given numbers 29/949, 3411/2600 is

LCM of Numerators i.e. for 29,3411 is 98919

GCF of denominators i.e. for 949,2600 is 13.

Thus, LCM of Fractions is 98919/13.Finally, LCM of Fractions for 29/949, 3411/2600 is 98919/13.