Least Common Multiple of 87/46, 310/37, 154/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/46, 310/37, 154/585 quickly i.e. 2076690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/46, 310/37, 154/585 is 2076690.

LCM(87/46, 310/37, 154/585) = 2076690

LCM of 87/46, 310/37, 154/585

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 87/46,310/37,154/585

Given numbers are 87/46,310/37,154/585

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 87,310,154

Least Common Multiple of Numerators i.e. LCM of 87,310,154 is 2076690.

GCF of Denominators means GCF of 46,37,585 as per the given fractions.

GCF of 46,37,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,310,154

LCM of Fractions 87/46,310/37,154/585 is 2076690

2 87, 310, 154
87, 155, 77

∴ So the LCM of the given numbers is 2 x 87 x 155 x 77 = 2076690

Least Common Multiple of 87,310,154 with GCF Formula

Least Common Multiple of 87,310,154 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 87,310,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,310,154) = 1

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

GCF(87,310,154) x common factors =1 x 2 = 2

LCM(87,310,154) = ( 87 × 310 × 154 ) / 2

LCM(87,310,154) = 4153380 / 2

LCM(87,310,154) = 2076690


Lets's calculate GCF of 46,37,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2076690/1

Therefore the LCM of Fractions 87/46,310/37,154/585 is 2076690

Greatest Common Factor of 46,37,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,37,585 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 46,37,585 . The biggest common factor number is the GCF number.
So the greatest common factor 46,37,585 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 87/46, 310/37, 154/585

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 87/46, 310/37, 154/585?

Answer: LCM of Numerators as per given numbers 87/46, 310/37, 154/585 is

LCM of Numerators i.e. for 87,310,154 is 2076690

GCF of denominators i.e. for 46,37,585 is 1.

Thus, LCM of Fractions is 2076690.Finally, LCM of Fractions for 87/46, 310/37, 154/585 is 2076690.