Least Common Multiple of 5482/19, 5134/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5482/19, 5134/970 quickly i.e. 14072294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5482/19, 5134/970 is 14072294.

LCM(5482/19, 5134/970) = 14072294

LCM of 5482/19, 5134/970

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 5482/19,5134/970

Given numbers are 5482/19,5134/970

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 5482,5134

Least Common Multiple of Numerators i.e. LCM of 5482,5134 is 14072294.

GCF of Denominators means GCF of 19,970 as per the given fractions.

GCF of 19,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5482,5134

LCM of Fractions 5482/19,5134/970 is 14072294

2 5482, 5134
2741, 2567

∴ So the LCM of the given numbers is 2 x 2741 x 2567 = 14072294

Least Common Multiple of 5482,5134 with GCF Formula

Least Common Multiple of 5482,5134 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 5482,5134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5482,5134) = 2

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

GCF(5482,5134) x common factors =2 x 1 = 2

LCM(5482,5134) = ( 5482 × 5134 ) / 2

LCM(5482,5134) = 28144588 / 2

LCM(5482,5134) = 14072294


Lets's calculate GCF of 19,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14072294/1

Therefore the LCM of Fractions 5482/19,5134/970 is 14072294

Greatest Common Factor of 19,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,970 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 19,970 . The biggest common factor number is the GCF number.
So the greatest common factor 19,970 is 1.


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 5482/19, 5134/970

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 5482/19, 5134/970?

Answer: LCM of Numerators as per given numbers 5482/19, 5134/970 is

LCM of Numerators i.e. for 5482,5134 is 14072294

GCF of denominators i.e. for 19,970 is 1.

Thus, LCM of Fractions is 14072294.Finally, LCM of Fractions for 5482/19, 5134/970 is 14072294.