Least Common Multiple of 21/240, 70/914, 426/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/240, 70/914, 426/232 quickly i.e. 7455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/240, 70/914, 426/232 is 7455.

LCM(21/240, 70/914, 426/232) = 7455

LCM of 21/240, 70/914, 426/232

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 21/240,70/914,426/232

Given numbers are 21/240,70/914,426/232

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 21,70,426

Least Common Multiple of Numerators i.e. LCM of 21,70,426 is 14910.

GCF of Denominators means GCF of 240,914,232 as per the given fractions.

GCF of 240,914,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,70,426

LCM of Fractions 21/240,70/914,426/232 is 7455

2 21, 70, 426
3 21, 35, 213
7 7, 35, 71
1, 5, 71

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 5 x 71 = 14910

Least Common Multiple of 21,70,426 with GCF Formula

Least Common Multiple of 21,70,426 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 21,70,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,70,426) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(21,70,426) x common factors =1 x 42 = 42

LCM(21,70,426) = ( 21 × 70 × 426 ) / 42

LCM(21,70,426) = 626220 / 42

LCM(21,70,426) = 14910


Lets's calculate GCF of 240,914,232

2 240, 914, 232
120, 457, 116

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14910/2

Therefore the LCM of Fractions 21/240,70/914,426/232 is 7455

Greatest Common Factor of 240,914,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,914,232 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 240,914,232 . The biggest common factor number is the GCF number.
So the greatest common factor 240,914,232 is 2.


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 21/240, 70/914, 426/232

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 21/240, 70/914, 426/232?

Answer: LCM of Numerators as per given numbers 21/240, 70/914, 426/232 is

LCM of Numerators i.e. for 21,70,426 is 14910

GCF of denominators i.e. for 240,914,232 is 2.

Thus, LCM of Fractions is 7455.Finally, LCM of Fractions for 21/240, 70/914, 426/232 is 7455.