Least Common Multiple of 15/546, 86/185, 574/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/546, 86/185, 574/696 quickly i.e. 370230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/546, 86/185, 574/696 is 370230.

LCM(15/546, 86/185, 574/696) = 370230

LCM of 15/546, 86/185, 574/696

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 15/546,86/185,574/696

Given numbers are 15/546,86/185,574/696

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 15,86,574

Least Common Multiple of Numerators i.e. LCM of 15,86,574 is 370230.

GCF of Denominators means GCF of 546,185,696 as per the given fractions.

GCF of 546,185,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,86,574

LCM of Fractions 15/546,86/185,574/696 is 370230

2 15, 86, 574
15, 43, 287

∴ So the LCM of the given numbers is 2 x 15 x 43 x 287 = 370230

Least Common Multiple of 15,86,574 with GCF Formula

Least Common Multiple of 15,86,574 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 15,86,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,86,574) = 1

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

GCF(15,86,574) x common factors =1 x 2 = 2

LCM(15,86,574) = ( 15 × 86 × 574 ) / 2

LCM(15,86,574) = 740460 / 2

LCM(15,86,574) = 370230


Lets's calculate GCF of 546,185,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 370230/1

Therefore the LCM of Fractions 15/546,86/185,574/696 is 370230

Greatest Common Factor of 546,185,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,185,696 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 546,185,696 . The biggest common factor number is the GCF number.
So the greatest common factor 546,185,696 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 15/546, 86/185, 574/696

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 15/546, 86/185, 574/696?

Answer: LCM of Numerators as per given numbers 15/546, 86/185, 574/696 is

LCM of Numerators i.e. for 15,86,574 is 370230

GCF of denominators i.e. for 546,185,696 is 1.

Thus, LCM of Fractions is 370230.Finally, LCM of Fractions for 15/546, 86/185, 574/696 is 370230.