Least Common Multiple of 1/920, 71/276, 19/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/920, 71/276, 19/572 quickly i.e. 1349/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/920, 71/276, 19/572 is 1349/4.

LCM(1/920, 71/276, 19/572) = 1349/4

LCM of 1/920, 71/276, 19/572

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 1/920,71/276,19/572

Given numbers are 1/920,71/276,19/572

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 1,71,19

Least Common Multiple of Numerators i.e. LCM of 1,71,19 is 1349.

GCF of Denominators means GCF of 920,276,572 as per the given fractions.

GCF of 920,276,572 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,71,19

LCM of Fractions 1/920,71/276,19/572 is 1349/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1349

Least Common Multiple of 1,71,19 with GCF Formula

Least Common Multiple of 1,71,19 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 1,71,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,71,19) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1,71,19) x common factors =1 x 1 = 1

LCM(1,71,19) = ( 1 × 71 × 19 ) / 1

LCM(1,71,19) = 1349 / 1

LCM(1,71,19) = 1349


Lets's calculate GCF of 920,276,572

2 920, 276, 572
2 460, 138, 286
230, 69, 143

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1349/4

Therefore the LCM of Fractions 1/920,71/276,19/572 is 1349/4

Greatest Common Factor of 920,276,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,276,572 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 920,276,572 . The biggest common factor number is the GCF number.
So the greatest common factor 920,276,572 is 4.


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 1/920, 71/276, 19/572

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 1/920, 71/276, 19/572?

Answer: LCM of Numerators as per given numbers 1/920, 71/276, 19/572 is

LCM of Numerators i.e. for 1,71,19 is 1349

GCF of denominators i.e. for 920,276,572 is 4.

Thus, LCM of Fractions is 1349/4.Finally, LCM of Fractions for 1/920, 71/276, 19/572 is 1349/4.