Least Common Multiple of 142/40, 311/98, 414/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/40, 311/98, 414/325 quickly i.e. 9141534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/40, 311/98, 414/325 is 9141534.

LCM(142/40, 311/98, 414/325) = 9141534

LCM of 142/40, 311/98, 414/325

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 142/40,311/98,414/325

Given numbers are 142/40,311/98,414/325

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 142,311,414

Least Common Multiple of Numerators i.e. LCM of 142,311,414 is 9141534.

GCF of Denominators means GCF of 40,98,325 as per the given fractions.

GCF of 40,98,325 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,311,414

LCM of Fractions 142/40,311/98,414/325 is 9141534

2 142, 311, 414
71, 311, 207

∴ So the LCM of the given numbers is 2 x 71 x 311 x 207 = 9141534

Least Common Multiple of 142,311,414 with GCF Formula

Least Common Multiple of 142,311,414 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 142,311,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,311,414) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(142,311,414) x common factors =1 x 2 = 2

LCM(142,311,414) = ( 142 × 311 × 414 ) / 2

LCM(142,311,414) = 18283068 / 2

LCM(142,311,414) = 9141534


Lets's calculate GCF of 40,98,325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9141534/1

Therefore the LCM of Fractions 142/40,311/98,414/325 is 9141534

Greatest Common Factor of 40,98,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,98,325 By Matching Biggest Common Factor Method

Factors of 40

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

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

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 40,98,325 . The biggest common factor number is the GCF number.
So the greatest common factor 40,98,325 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 142/40, 311/98, 414/325

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 142/40, 311/98, 414/325?

Answer: LCM of Numerators as per given numbers 142/40, 311/98, 414/325 is

LCM of Numerators i.e. for 142,311,414 is 9141534

GCF of denominators i.e. for 40,98,325 is 1.

Thus, LCM of Fractions is 9141534.Finally, LCM of Fractions for 142/40, 311/98, 414/325 is 9141534.