Least Common Multiple of 293/734, 748/115, 992/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/734, 748/115, 992/137 quickly i.e. 54352672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/734, 748/115, 992/137 is 54352672.

LCM(293/734, 748/115, 992/137) = 54352672

LCM of 293/734, 748/115, 992/137

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 293/734,748/115,992/137

Given numbers are 293/734,748/115,992/137

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 293,748,992

Least Common Multiple of Numerators i.e. LCM of 293,748,992 is 54352672.

GCF of Denominators means GCF of 734,115,137 as per the given fractions.

GCF of 734,115,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,748,992

LCM of Fractions 293/734,748/115,992/137 is 54352672

2 293, 748, 992
2 293, 374, 496
293, 187, 248

∴ So the LCM of the given numbers is 2 x 2 x 293 x 187 x 248 = 54352672

Least Common Multiple of 293,748,992 with GCF Formula

Least Common Multiple of 293,748,992 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 293,748,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,748,992) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(293,748,992) x common factors =1 x 4 = 4

LCM(293,748,992) = ( 293 × 748 × 992 ) / 4

LCM(293,748,992) = 217410688 / 4

LCM(293,748,992) = 54352672


Lets's calculate GCF of 734,115,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54352672/1

Therefore the LCM of Fractions 293/734,748/115,992/137 is 54352672

Greatest Common Factor of 734,115,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,115,137 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 734,115,137 . The biggest common factor number is the GCF number.
So the greatest common factor 734,115,137 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 293/734, 748/115, 992/137

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 293/734, 748/115, 992/137?

Answer: LCM of Numerators as per given numbers 293/734, 748/115, 992/137 is

LCM of Numerators i.e. for 293,748,992 is 54352672

GCF of denominators i.e. for 734,115,137 is 1.

Thus, LCM of Fractions is 54352672.Finally, LCM of Fractions for 293/734, 748/115, 992/137 is 54352672.