Least Common Multiple of 14/124, 90/858, 970/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/124, 90/858, 970/588 quickly i.e. 30555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/124, 90/858, 970/588 is 30555.

LCM(14/124, 90/858, 970/588) = 30555

LCM of 14/124, 90/858, 970/588

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 14/124,90/858,970/588

Given numbers are 14/124,90/858,970/588

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 14,90,970

Least Common Multiple of Numerators i.e. LCM of 14,90,970 is 61110.

GCF of Denominators means GCF of 124,858,588 as per the given fractions.

GCF of 124,858,588 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,90,970

LCM of Fractions 14/124,90/858,970/588 is 30555

2 14, 90, 970
5 7, 45, 485
7, 9, 97

∴ So the LCM of the given numbers is 2 x 5 x 7 x 9 x 97 = 61110

Least Common Multiple of 14,90,970 with GCF Formula

Least Common Multiple of 14,90,970 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 14,90,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,90,970) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(14,90,970) x common factors =2 x 10 = 20

LCM(14,90,970) = ( 14 × 90 × 970 ) / 20

LCM(14,90,970) = 1222200 / 20

LCM(14,90,970) = 61110


Lets's calculate GCF of 124,858,588

2 124, 858, 588
62, 429, 294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61110/2

Therefore the LCM of Fractions 14/124,90/858,970/588 is 30555

Greatest Common Factor of 124,858,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,858,588 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 124,858,588 . The biggest common factor number is the GCF number.
So the greatest common factor 124,858,588 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 14/124, 90/858, 970/588

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 14/124, 90/858, 970/588?

Answer: LCM of Numerators as per given numbers 14/124, 90/858, 970/588 is

LCM of Numerators i.e. for 14,90,970 is 61110

GCF of denominators i.e. for 124,858,588 is 2.

Thus, LCM of Fractions is 30555.Finally, LCM of Fractions for 14/124, 90/858, 970/588 is 30555.