Least Common Multiple of 745/274, 510/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 745/274, 510/508 quickly i.e. 37995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/274, 510/508 is 37995.

LCM(745/274, 510/508) = 37995

LCM of 745/274, 510/508

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 745/274,510/508

Given numbers are 745/274,510/508

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 745,510

Least Common Multiple of Numerators i.e. LCM of 745,510 is 75990.

GCF of Denominators means GCF of 274,508 as per the given fractions.

GCF of 274,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,510

LCM of Fractions 745/274,510/508 is 37995

5 745, 510
149, 102

∴ So the LCM of the given numbers is 5 x 149 x 102 = 75990

Least Common Multiple of 745,510 with GCF Formula

Least Common Multiple of 745,510 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 745,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,510) = 5

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

GCF(745,510) x common factors =5 x 1 = 5

LCM(745,510) = ( 745 × 510 ) / 5

LCM(745,510) = 379950 / 5

LCM(745,510) = 75990


Lets's calculate GCF of 274,508

2 274, 508
137, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75990/2

Therefore the LCM of Fractions 745/274,510/508 is 37995

Greatest Common Factor of 274,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,508 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 274,508 . The biggest common factor number is the GCF number.
So the greatest common factor 274,508 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 745/274, 510/508

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 745/274, 510/508?

Answer: LCM of Numerators as per given numbers 745/274, 510/508 is

LCM of Numerators i.e. for 745,510 is 75990

GCF of denominators i.e. for 274,508 is 2.

Thus, LCM of Fractions is 37995.Finally, LCM of Fractions for 745/274, 510/508 is 37995.