Least Common Multiple of 701/308, 628/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 701/308, 628/649 quickly i.e. 440228/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/308, 628/649 is 440228/11.

LCM(701/308, 628/649) = 440228/11

LCM of 701/308, 628/649

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 701/308,628/649

Given numbers are 701/308,628/649

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 701,628

Least Common Multiple of Numerators i.e. LCM of 701,628 is 440228.

GCF of Denominators means GCF of 308,649 as per the given fractions.

GCF of 308,649 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,628

LCM of Fractions 701/308,628/649 is 440228/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 440228

Least Common Multiple of 701,628 with GCF Formula

Least Common Multiple of 701,628 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 701,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,628) = 1

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

GCF(701,628) x common factors =1 x 1 = 1

LCM(701,628) = ( 701 × 628 ) / 1

LCM(701,628) = 440228 / 1

LCM(701,628) = 440228


Lets's calculate GCF of 308,649

11 308, 649
28, 59

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440228/11

Therefore the LCM of Fractions 701/308,628/649 is 440228/11

Greatest Common Factor of 308,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,649 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 308,649 . The biggest common factor number is the GCF number.
So the greatest common factor 308,649 is 11.


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 701/308, 628/649

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 701/308, 628/649?

Answer: LCM of Numerators as per given numbers 701/308, 628/649 is

LCM of Numerators i.e. for 701,628 is 440228

GCF of denominators i.e. for 308,649 is 11.

Thus, LCM of Fractions is 440228/11.Finally, LCM of Fractions for 701/308, 628/649 is 440228/11.