Least Common Multiple of 70/29, 98/96, 509/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/29, 98/96, 509/40 quickly i.e. 249410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/29, 98/96, 509/40 is 249410.

LCM(70/29, 98/96, 509/40) = 249410

LCM of 70/29, 98/96, 509/40

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 70/29,98/96,509/40

Given numbers are 70/29,98/96,509/40

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 70,98,509

Least Common Multiple of Numerators i.e. LCM of 70,98,509 is 249410.

GCF of Denominators means GCF of 29,96,40 as per the given fractions.

GCF of 29,96,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,98,509

LCM of Fractions 70/29,98/96,509/40 is 249410

2 70, 98, 509
7 35, 49, 509
5, 7, 509

∴ So the LCM of the given numbers is 2 x 7 x 5 x 7 x 509 = 249410

Least Common Multiple of 70,98,509 with GCF Formula

Least Common Multiple of 70,98,509 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 70,98,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,98,509) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(70,98,509) x common factors =1 x 14 = 14

LCM(70,98,509) = ( 70 × 98 × 509 ) / 14

LCM(70,98,509) = 3491740 / 14

LCM(70,98,509) = 249410


Lets's calculate GCF of 29,96,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249410/1

Therefore the LCM of Fractions 70/29,98/96,509/40 is 249410

Greatest Common Factor of 29,96,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,96,40 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 29,96,40 . The biggest common factor number is the GCF number.
So the greatest common factor 29,96,40 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 70/29, 98/96, 509/40

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 70/29, 98/96, 509/40?

Answer: LCM of Numerators as per given numbers 70/29, 98/96, 509/40 is

LCM of Numerators i.e. for 70,98,509 is 249410

GCF of denominators i.e. for 29,96,40 is 1.

Thus, LCM of Fractions is 249410.Finally, LCM of Fractions for 70/29, 98/96, 509/40 is 249410.