Least Common Multiple of 58/140, 90/870, 895/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/140, 90/870, 895/873 quickly i.e. 467190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/140, 90/870, 895/873 is 467190.

LCM(58/140, 90/870, 895/873) = 467190

LCM of 58/140, 90/870, 895/873

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 58/140,90/870,895/873

Given numbers are 58/140,90/870,895/873

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 58,90,895

Least Common Multiple of Numerators i.e. LCM of 58,90,895 is 467190.

GCF of Denominators means GCF of 140,870,873 as per the given fractions.

GCF of 140,870,873 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,90,895

LCM of Fractions 58/140,90/870,895/873 is 467190

2 58, 90, 895
5 29, 45, 895
29, 9, 179

∴ So the LCM of the given numbers is 2 x 5 x 29 x 9 x 179 = 467190

Least Common Multiple of 58,90,895 with GCF Formula

Least Common Multiple of 58,90,895 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 58,90,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,90,895) = 1

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

GCF(58,90,895) x common factors =1 x 10 = 10

LCM(58,90,895) = ( 58 × 90 × 895 ) / 10

LCM(58,90,895) = 4671900 / 10

LCM(58,90,895) = 467190


Lets's calculate GCF of 140,870,873

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467190/1

Therefore the LCM of Fractions 58/140,90/870,895/873 is 467190

Greatest Common Factor of 140,870,873 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,870,873 By Matching Biggest Common Factor Method

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

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Greatest Common Factor

We found the factors 140,870,873 . The biggest common factor number is the GCF number.
So the greatest common factor 140,870,873 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 58/140, 90/870, 895/873

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 58/140, 90/870, 895/873?

Answer: LCM of Numerators as per given numbers 58/140, 90/870, 895/873 is

LCM of Numerators i.e. for 58,90,895 is 467190

GCF of denominators i.e. for 140,870,873 is 1.

Thus, LCM of Fractions is 467190.Finally, LCM of Fractions for 58/140, 90/870, 895/873 is 467190.