Least Common Multiple of 23/88, 63/67, 711/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/88, 63/67, 711/490 quickly i.e. 114471 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/88, 63/67, 711/490 is 114471.

LCM(23/88, 63/67, 711/490) = 114471

LCM of 23/88, 63/67, 711/490

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 23/88,63/67,711/490

Given numbers are 23/88,63/67,711/490

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 23,63,711

Least Common Multiple of Numerators i.e. LCM of 23,63,711 is 114471.

GCF of Denominators means GCF of 88,67,490 as per the given fractions.

GCF of 88,67,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,63,711

LCM of Fractions 23/88,63/67,711/490 is 114471

3 23, 63, 711
3 23, 21, 237
23, 7, 79

∴ So the LCM of the given numbers is 3 x 3 x 23 x 7 x 79 = 114471

Least Common Multiple of 23,63,711 with GCF Formula

Least Common Multiple of 23,63,711 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 23,63,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,63,711) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(23,63,711) x common factors =1 x 9 = 9

LCM(23,63,711) = ( 23 × 63 × 711 ) / 9

LCM(23,63,711) = 1030239 / 9

LCM(23,63,711) = 114471


Lets's calculate GCF of 88,67,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114471/1

Therefore the LCM of Fractions 23/88,63/67,711/490 is 114471

Greatest Common Factor of 88,67,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,67,490 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 88,67,490 . The biggest common factor number is the GCF number.
So the greatest common factor 88,67,490 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 23/88, 63/67, 711/490

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 23/88, 63/67, 711/490?

Answer: LCM of Numerators as per given numbers 23/88, 63/67, 711/490 is

LCM of Numerators i.e. for 23,63,711 is 114471

GCF of denominators i.e. for 88,67,490 is 1.

Thus, LCM of Fractions is 114471.Finally, LCM of Fractions for 23/88, 63/67, 711/490 is 114471.