Least Common Multiple of 86/370, 788/493, 930/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/370, 788/493, 930/565 quickly i.e. 15756060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/370, 788/493, 930/565 is 15756060.

LCM(86/370, 788/493, 930/565) = 15756060

LCM of 86/370, 788/493, 930/565

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 86/370,788/493,930/565

Given numbers are 86/370,788/493,930/565

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 86,788,930

Least Common Multiple of Numerators i.e. LCM of 86,788,930 is 15756060.

GCF of Denominators means GCF of 370,493,565 as per the given fractions.

GCF of 370,493,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,788,930

LCM of Fractions 86/370,788/493,930/565 is 15756060

2 86, 788, 930
43, 394, 465

∴ So the LCM of the given numbers is 2 x 43 x 394 x 465 = 15756060

Least Common Multiple of 86,788,930 with GCF Formula

Least Common Multiple of 86,788,930 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 86,788,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,788,930) = 2

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

GCF(86,788,930) x common factors =2 x 2 = 4

LCM(86,788,930) = ( 86 × 788 × 930 ) / 4

LCM(86,788,930) = 63024240 / 4

LCM(86,788,930) = 15756060


Lets's calculate GCF of 370,493,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15756060/1

Therefore the LCM of Fractions 86/370,788/493,930/565 is 15756060

Greatest Common Factor of 370,493,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,493,565 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 370,493,565 . The biggest common factor number is the GCF number.
So the greatest common factor 370,493,565 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 86/370, 788/493, 930/565

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 86/370, 788/493, 930/565?

Answer: LCM of Numerators as per given numbers 86/370, 788/493, 930/565 is

LCM of Numerators i.e. for 86,788,930 is 15756060

GCF of denominators i.e. for 370,493,565 is 1.

Thus, LCM of Fractions is 15756060.Finally, LCM of Fractions for 86/370, 788/493, 930/565 is 15756060.