Least Common Multiple of 7124/34, 2779/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7124/34, 2779/102 quickly i.e. 19797596/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7124/34, 2779/102 is 19797596/34.

LCM(7124/34, 2779/102) = 19797596/34

LCM of 7124/34, 2779/102

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 7124/34,2779/102

Given numbers are 7124/34,2779/102

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 7124,2779

Least Common Multiple of Numerators i.e. LCM of 7124,2779 is 19797596.

GCF of Denominators means GCF of 34,102 as per the given fractions.

GCF of 34,102 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7124,2779

LCM of Fractions 7124/34,2779/102 is 19797596/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 19797596

Least Common Multiple of 7124,2779 with GCF Formula

Least Common Multiple of 7124,2779 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 7124,2779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7124,2779) = 1

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

GCF(7124,2779) x common factors =1 x 1 = 1

LCM(7124,2779) = ( 7124 × 2779 ) / 1

LCM(7124,2779) = 19797596 / 1

LCM(7124,2779) = 19797596


Lets's calculate GCF of 34,102

2 34, 102
17 17, 51
1, 3

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19797596/34

Therefore the LCM of Fractions 7124/34,2779/102 is 19797596/34

Greatest Common Factor of 34,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,102 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 34,102 . The biggest common factor number is the GCF number.
So the greatest common factor 34,102 is 34.


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 7124/34, 2779/102

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 7124/34, 2779/102?

Answer: LCM of Numerators as per given numbers 7124/34, 2779/102 is

LCM of Numerators i.e. for 7124,2779 is 19797596

GCF of denominators i.e. for 34,102 is 34.

Thus, LCM of Fractions is 19797596/34.Finally, LCM of Fractions for 7124/34, 2779/102 is 19797596/34.