Least Common Multiple of 746/714, 253/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/714, 253/158 quickly i.e. 94369 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/714, 253/158 is 94369.

LCM(746/714, 253/158) = 94369

LCM of 746/714, 253/158

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 746/714,253/158

Given numbers are 746/714,253/158

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 746,253

Least Common Multiple of Numerators i.e. LCM of 746,253 is 188738.

GCF of Denominators means GCF of 714,158 as per the given fractions.

GCF of 714,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,253

LCM of Fractions 746/714,253/158 is 94369

Given numbers has no common factors except 1. So, there LCM is their product i.e 188738

Least Common Multiple of 746,253 with GCF Formula

Least Common Multiple of 746,253 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 746,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,253) = 1

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

GCF(746,253) x common factors =1 x 1 = 1

LCM(746,253) = ( 746 × 253 ) / 1

LCM(746,253) = 188738 / 1

LCM(746,253) = 188738


Lets's calculate GCF of 714,158

2 714, 158
357, 79

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188738/2

Therefore the LCM of Fractions 746/714,253/158 is 94369

Greatest Common Factor of 714,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,158 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 714,158 . The biggest common factor number is the GCF number.
So the greatest common factor 714,158 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 746/714, 253/158

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 746/714, 253/158?

Answer: LCM of Numerators as per given numbers 746/714, 253/158 is

LCM of Numerators i.e. for 746,253 is 188738

GCF of denominators i.e. for 714,158 is 2.

Thus, LCM of Fractions is 94369.Finally, LCM of Fractions for 746/714, 253/158 is 94369.