Least Common Multiple of 17/94, 392/42, 709/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/94, 392/42, 709/140 quickly i.e. 2362388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/94, 392/42, 709/140 is 2362388.

LCM(17/94, 392/42, 709/140) = 2362388

LCM of 17/94, 392/42, 709/140

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 17/94,392/42,709/140

Given numbers are 17/94,392/42,709/140

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 17,392,709

Least Common Multiple of Numerators i.e. LCM of 17,392,709 is 4724776.

GCF of Denominators means GCF of 94,42,140 as per the given fractions.

GCF of 94,42,140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,392,709

LCM of Fractions 17/94,392/42,709/140 is 2362388

Given numbers has no common factors except 1. So, there LCM is their product i.e 4724776

Least Common Multiple of 17,392,709 with GCF Formula

Least Common Multiple of 17,392,709 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 17,392,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,392,709) = 1

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

GCF(17,392,709) x common factors =1 x 1 = 1

LCM(17,392,709) = ( 17 × 392 × 709 ) / 1

LCM(17,392,709) = 4724776 / 1

LCM(17,392,709) = 4724776


Lets's calculate GCF of 94,42,140

2 94, 42, 140
47, 21, 70

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4724776/2

Therefore the LCM of Fractions 17/94,392/42,709/140 is 2362388

Greatest Common Factor of 94,42,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,42,140 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 94,42,140 . The biggest common factor number is the GCF number.
So the greatest common factor 94,42,140 is 2.


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 17/94, 392/42, 709/140

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 17/94, 392/42, 709/140?

Answer: LCM of Numerators as per given numbers 17/94, 392/42, 709/140 is

LCM of Numerators i.e. for 17,392,709 is 4724776

GCF of denominators i.e. for 94,42,140 is 2.

Thus, LCM of Fractions is 2362388.Finally, LCM of Fractions for 17/94, 392/42, 709/140 is 2362388.