Least Common Multiple of 88/14, 220/36, 240/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/14, 220/36, 240/765 quickly i.e. 2640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/14, 220/36, 240/765 is 2640.

LCM(88/14, 220/36, 240/765) = 2640

LCM of 88/14, 220/36, 240/765

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 88/14,220/36,240/765

Given numbers are 88/14,220/36,240/765

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 88,220,240

Least Common Multiple of Numerators i.e. LCM of 88,220,240 is 2640.

GCF of Denominators means GCF of 14,36,765 as per the given fractions.

GCF of 14,36,765 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,220,240

LCM of Fractions 88/14,220/36,240/765 is 2640

2 88, 220, 240
2 44, 110, 120
2 22, 55, 60
5 11, 55, 30
11 11, 11, 6
1, 1, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 1 x 1 x 6 = 2640

Least Common Multiple of 88,220,240 with GCF Formula

Least Common Multiple of 88,220,240 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 88,220,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,220,240) = 4

common factors(in case of two or more numbers have common factors) = 440

GCF(88,220,240) x common factors =4 x 440 = 1760

LCM(88,220,240) = ( 88 × 220 × 240 ) / 1760

LCM(88,220,240) = 4646400 / 1760

LCM(88,220,240) = 2640


Lets's calculate GCF of 14,36,765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2640/1

Therefore the LCM of Fractions 88/14,220/36,240/765 is 2640

Greatest Common Factor of 14,36,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,36,765 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 14,36,765 . The biggest common factor number is the GCF number.
So the greatest common factor 14,36,765 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 88/14, 220/36, 240/765

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 88/14, 220/36, 240/765?

Answer: LCM of Numerators as per given numbers 88/14, 220/36, 240/765 is

LCM of Numerators i.e. for 88,220,240 is 2640

GCF of denominators i.e. for 14,36,765 is 1.

Thus, LCM of Fractions is 2640.Finally, LCM of Fractions for 88/14, 220/36, 240/765 is 2640.