Least Common Multiple of 17/35, 21/70, 47/58, 40/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/35, 21/70, 47/58, 40/951 quickly i.e. 671160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/35, 21/70, 47/58, 40/951 is 671160.

LCM(17/35, 21/70, 47/58, 40/951) = 671160

LCM of 17/35, 21/70, 47/58, 40/951

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 17/35,21/70,47/58,40/951

Given numbers are 17/35,21/70,47/58,40/951

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 17,21,47,40

Least Common Multiple of Numerators i.e. LCM of 17,21,47,40 is 671160.

GCF of Denominators means GCF of 35,70,58,951 as per the given fractions.

GCF of 35,70,58,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,21,47,40

LCM of Fractions 17/35,21/70,47/58,40/951 is 671160

Given numbers has no common factors except 1. So, there LCM is their product i.e 671160

Least Common Multiple of 17,21,47,40 with GCF Formula

Least Common Multiple of 17,21,47,40 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 17,21,47,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,21,47,40) = 1

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

GCF(17,21,47,40) x common factors =1 x 1 = 1

LCM(17,21,47,40) = ( 17 × 21 × 47 × 40 ) / 1

LCM(17,21,47,40) = 671160 / 1

LCM(17,21,47,40) = 671160


Lets's calculate GCF of 35,70,58,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 671160/1

Therefore the LCM of Fractions 17/35,21/70,47/58,40/951 is 671160

Greatest Common Factor of 35,70,58,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,70,58,951 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 35,70,58,951 . The biggest common factor number is the GCF number.
So the greatest common factor 35,70,58,951 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 17/35, 21/70, 47/58, 40/951

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 17/35, 21/70, 47/58, 40/951?

Answer: LCM of Numerators as per given numbers 17/35, 21/70, 47/58, 40/951 is

LCM of Numerators i.e. for 17,21,47,40 is 671160

GCF of denominators i.e. for 35,70,58,951 is 1.

Thus, LCM of Fractions is 671160.Finally, LCM of Fractions for 17/35, 21/70, 47/58, 40/951 is 671160.