Least Common Multiple of 650/274, 115/462, 115/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 650/274, 115/462, 115/608 quickly i.e. 7475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 650/274, 115/462, 115/608 is 7475.

LCM(650/274, 115/462, 115/608) = 7475

LCM of 650/274, 115/462, 115/608

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 650/274,115/462,115/608

Given numbers are 650/274,115/462,115/608

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 650,115,115

Least Common Multiple of Numerators i.e. LCM of 650,115,115 is 14950.

GCF of Denominators means GCF of 274,462,608 as per the given fractions.

GCF of 274,462,608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 650,115,115

LCM of Fractions 650/274,115/462,115/608 is 7475

5 650, 115, 115
23 130, 23, 23
130, 1, 1

∴ So the LCM of the given numbers is 5 x 23 x 130 x 1 x 1 = 14950

Least Common Multiple of 650,115,115 with GCF Formula

Least Common Multiple of 650,115,115 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 650,115,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,115,115) = 5

common factors(in case of two or more numbers have common factors) = 115

GCF(650,115,115) x common factors =5 x 115 = 575

LCM(650,115,115) = ( 650 × 115 × 115 ) / 575

LCM(650,115,115) = 8596250 / 575

LCM(650,115,115) = 14950


Lets's calculate GCF of 274,462,608

2 274, 462, 608
137, 231, 304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14950/2

Therefore the LCM of Fractions 650/274,115/462,115/608 is 7475

Greatest Common Factor of 274,462,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,462,608 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 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 274,462,608 . The biggest common factor number is the GCF number.
So the greatest common factor 274,462,608 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 650/274, 115/462, 115/608

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 650/274, 115/462, 115/608?

Answer: LCM of Numerators as per given numbers 650/274, 115/462, 115/608 is

LCM of Numerators i.e. for 650,115,115 is 14950

GCF of denominators i.e. for 274,462,608 is 2.

Thus, LCM of Fractions is 7475.Finally, LCM of Fractions for 650/274, 115/462, 115/608 is 7475.