Least Common Multiple of 75/65, 94/711, 126/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/65, 94/711, 126/560 quickly i.e. 148050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/65, 94/711, 126/560 is 148050.

LCM(75/65, 94/711, 126/560) = 148050

LCM of 75/65, 94/711, 126/560

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 75/65,94/711,126/560

Given numbers are 75/65,94/711,126/560

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 75,94,126

Least Common Multiple of Numerators i.e. LCM of 75,94,126 is 148050.

GCF of Denominators means GCF of 65,711,560 as per the given fractions.

GCF of 65,711,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,94,126

LCM of Fractions 75/65,94/711,126/560 is 148050

2 75, 94, 126
3 75, 47, 63
25, 47, 21

∴ So the LCM of the given numbers is 2 x 3 x 25 x 47 x 21 = 148050

Least Common Multiple of 75,94,126 with GCF Formula

Least Common Multiple of 75,94,126 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 75,94,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,94,126) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,94,126) x common factors =1 x 6 = 6

LCM(75,94,126) = ( 75 × 94 × 126 ) / 6

LCM(75,94,126) = 888300 / 6

LCM(75,94,126) = 148050


Lets's calculate GCF of 65,711,560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148050/1

Therefore the LCM of Fractions 75/65,94/711,126/560 is 148050

Greatest Common Factor of 65,711,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,711,560 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 65,711,560 . The biggest common factor number is the GCF number.
So the greatest common factor 65,711,560 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 75/65, 94/711, 126/560

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 75/65, 94/711, 126/560?

Answer: LCM of Numerators as per given numbers 75/65, 94/711, 126/560 is

LCM of Numerators i.e. for 75,94,126 is 148050

GCF of denominators i.e. for 65,711,560 is 1.

Thus, LCM of Fractions is 148050.Finally, LCM of Fractions for 75/65, 94/711, 126/560 is 148050.