Least Common Multiple of 904/942, 496/281, 739/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/942, 496/281, 739/670 quickly i.e. 41419472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/942, 496/281, 739/670 is 41419472.

LCM(904/942, 496/281, 739/670) = 41419472

LCM of 904/942, 496/281, 739/670

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 904/942,496/281,739/670

Given numbers are 904/942,496/281,739/670

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 904,496,739

Least Common Multiple of Numerators i.e. LCM of 904,496,739 is 41419472.

GCF of Denominators means GCF of 942,281,670 as per the given fractions.

GCF of 942,281,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,496,739

LCM of Fractions 904/942,496/281,739/670 is 41419472

2 904, 496, 739
2 452, 248, 739
2 226, 124, 739
113, 62, 739

∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 62 x 739 = 41419472

Least Common Multiple of 904,496,739 with GCF Formula

Least Common Multiple of 904,496,739 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 904,496,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,496,739) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(904,496,739) x common factors =1 x 8 = 8

LCM(904,496,739) = ( 904 × 496 × 739 ) / 8

LCM(904,496,739) = 331355776 / 8

LCM(904,496,739) = 41419472


Lets's calculate GCF of 942,281,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41419472/1

Therefore the LCM of Fractions 904/942,496/281,739/670 is 41419472

Greatest Common Factor of 942,281,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,281,670 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 942,281,670 . The biggest common factor number is the GCF number.
So the greatest common factor 942,281,670 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 904/942, 496/281, 739/670

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 904/942, 496/281, 739/670?

Answer: LCM of Numerators as per given numbers 904/942, 496/281, 739/670 is

LCM of Numerators i.e. for 904,496,739 is 41419472

GCF of denominators i.e. for 942,281,670 is 1.

Thus, LCM of Fractions is 41419472.Finally, LCM of Fractions for 904/942, 496/281, 739/670 is 41419472.