Least Common Multiple of 17/49, 57/13, 70/62, 97/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/49, 57/13, 70/62, 97/130 quickly i.e. 6579510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/49, 57/13, 70/62, 97/130 is 6579510.

LCM(17/49, 57/13, 70/62, 97/130) = 6579510

LCM of 17/49, 57/13, 70/62, 97/130

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 17/49,57/13,70/62,97/130

Given numbers are 17/49,57/13,70/62,97/130

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 17,57,70,97

Least Common Multiple of Numerators i.e. LCM of 17,57,70,97 is 6579510.

GCF of Denominators means GCF of 49,13,62,130 as per the given fractions.

GCF of 49,13,62,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,57,70,97

LCM of Fractions 17/49,57/13,70/62,97/130 is 6579510

Given numbers has no common factors except 1. So, there LCM is their product i.e 6579510

Least Common Multiple of 17,57,70,97 with GCF Formula

Least Common Multiple of 17,57,70,97 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 17,57,70,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,57,70,97) = 1

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

GCF(17,57,70,97) x common factors =1 x 1 = 1

LCM(17,57,70,97) = ( 17 × 57 × 70 × 97 ) / 1

LCM(17,57,70,97) = 6579510 / 1

LCM(17,57,70,97) = 6579510


Lets's calculate GCF of 49,13,62,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6579510/1

Therefore the LCM of Fractions 17/49,57/13,70/62,97/130 is 6579510

Greatest Common Factor of 49,13,62,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,13,62,130 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 49,13,62,130 . The biggest common factor number is the GCF number.
So the greatest common factor 49,13,62,130 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 17/49, 57/13, 70/62, 97/130

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 17/49, 57/13, 70/62, 97/130?

Answer: LCM of Numerators as per given numbers 17/49, 57/13, 70/62, 97/130 is

LCM of Numerators i.e. for 17,57,70,97 is 6579510

GCF of denominators i.e. for 49,13,62,130 is 1.

Thus, LCM of Fractions is 6579510.Finally, LCM of Fractions for 17/49, 57/13, 70/62, 97/130 is 6579510.