Least Common Multiple of 94/504, 31/334, 760/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/504, 31/334, 760/106 quickly i.e. 553660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/504, 31/334, 760/106 is 553660.

LCM(94/504, 31/334, 760/106) = 553660

LCM of 94/504, 31/334, 760/106

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 94/504,31/334,760/106

Given numbers are 94/504,31/334,760/106

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 94,31,760

Least Common Multiple of Numerators i.e. LCM of 94,31,760 is 1107320.

GCF of Denominators means GCF of 504,334,106 as per the given fractions.

GCF of 504,334,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,31,760

LCM of Fractions 94/504,31/334,760/106 is 553660

2 94, 31, 760
47, 31, 380

∴ So the LCM of the given numbers is 2 x 47 x 31 x 380 = 1107320

Least Common Multiple of 94,31,760 with GCF Formula

Least Common Multiple of 94,31,760 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 94,31,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,31,760) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,31,760) x common factors =1 x 2 = 2

LCM(94,31,760) = ( 94 × 31 × 760 ) / 2

LCM(94,31,760) = 2214640 / 2

LCM(94,31,760) = 1107320


Lets's calculate GCF of 504,334,106

2 504, 334, 106
252, 167, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1107320/2

Therefore the LCM of Fractions 94/504,31/334,760/106 is 553660

Greatest Common Factor of 504,334,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,334,106 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 504,334,106 . The biggest common factor number is the GCF number.
So the greatest common factor 504,334,106 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 94/504, 31/334, 760/106

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 94/504, 31/334, 760/106?

Answer: LCM of Numerators as per given numbers 94/504, 31/334, 760/106 is

LCM of Numerators i.e. for 94,31,760 is 1107320

GCF of denominators i.e. for 504,334,106 is 2.

Thus, LCM of Fractions is 553660.Finally, LCM of Fractions for 94/504, 31/334, 760/106 is 553660.