Least Common Multiple of 86/47, 75/77, 45/38, 89/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/47, 75/77, 45/38, 89/262 quickly i.e. 1722150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/47, 75/77, 45/38, 89/262 is 1722150.

LCM(86/47, 75/77, 45/38, 89/262) = 1722150

LCM of 86/47, 75/77, 45/38, 89/262

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 86/47,75/77,45/38,89/262

Given numbers are 86/47,75/77,45/38,89/262

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 86,75,45,89

Least Common Multiple of Numerators i.e. LCM of 86,75,45,89 is 1722150.

GCF of Denominators means GCF of 47,77,38,262 as per the given fractions.

GCF of 47,77,38,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,75,45,89

LCM of Fractions 86/47,75/77,45/38,89/262 is 1722150

3 86, 75, 45, 89
5 86, 25, 15, 89
86, 5, 3, 89

∴ So the LCM of the given numbers is 3 x 5 x 86 x 5 x 3 x 89 = 1722150

Least Common Multiple of 86,75,45,89 with GCF Formula

Least Common Multiple of 86,75,45,89 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 86,75,45,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,75,45,89) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(86,75,45,89) x common factors =1 x 15 = 15

LCM(86,75,45,89) = ( 86 × 75 × 45 × 89 ) / 15

LCM(86,75,45,89) = 25832250 / 15

LCM(86,75,45,89) = 1722150


Lets's calculate GCF of 47,77,38,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1722150/1

Therefore the LCM of Fractions 86/47,75/77,45/38,89/262 is 1722150

Greatest Common Factor of 47,77,38,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,77,38,262 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 47,77,38,262 . The biggest common factor number is the GCF number.
So the greatest common factor 47,77,38,262 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 86/47, 75/77, 45/38, 89/262

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 86/47, 75/77, 45/38, 89/262?

Answer: LCM of Numerators as per given numbers 86/47, 75/77, 45/38, 89/262 is

LCM of Numerators i.e. for 86,75,45,89 is 1722150

GCF of denominators i.e. for 47,77,38,262 is 1.

Thus, LCM of Fractions is 1722150.Finally, LCM of Fractions for 86/47, 75/77, 45/38, 89/262 is 1722150.