Least Common Multiple of 218/26, 948/19, 960/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/26, 948/19, 960/705 quickly i.e. 8266560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/26, 948/19, 960/705 is 8266560.

LCM(218/26, 948/19, 960/705) = 8266560

LCM of 218/26, 948/19, 960/705

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 218/26,948/19,960/705

Given numbers are 218/26,948/19,960/705

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 218,948,960

Least Common Multiple of Numerators i.e. LCM of 218,948,960 is 8266560.

GCF of Denominators means GCF of 26,19,705 as per the given fractions.

GCF of 26,19,705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,948,960

LCM of Fractions 218/26,948/19,960/705 is 8266560

2 218, 948, 960
2 109, 474, 480
3 109, 237, 240
109, 79, 80

∴ So the LCM of the given numbers is 2 x 2 x 3 x 109 x 79 x 80 = 8266560

Least Common Multiple of 218,948,960 with GCF Formula

Least Common Multiple of 218,948,960 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 218,948,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,948,960) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(218,948,960) x common factors =2 x 12 = 24

LCM(218,948,960) = ( 218 × 948 × 960 ) / 24

LCM(218,948,960) = 198397440 / 24

LCM(218,948,960) = 8266560


Lets's calculate GCF of 26,19,705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8266560/1

Therefore the LCM of Fractions 218/26,948/19,960/705 is 8266560

Greatest Common Factor of 26,19,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,19,705 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 26,19,705 . The biggest common factor number is the GCF number.
So the greatest common factor 26,19,705 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 218/26, 948/19, 960/705

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 218/26, 948/19, 960/705?

Answer: LCM of Numerators as per given numbers 218/26, 948/19, 960/705 is

LCM of Numerators i.e. for 218,948,960 is 8266560

GCF of denominators i.e. for 26,19,705 is 1.

Thus, LCM of Fractions is 8266560.Finally, LCM of Fractions for 218/26, 948/19, 960/705 is 8266560.