Least Common Multiple of 49/370, 965/627, 311/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/370, 965/627, 311/358 quickly i.e. 14705635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/370, 965/627, 311/358 is 14705635.

LCM(49/370, 965/627, 311/358) = 14705635

LCM of 49/370, 965/627, 311/358

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 49/370,965/627,311/358

Given numbers are 49/370,965/627,311/358

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 49,965,311

Least Common Multiple of Numerators i.e. LCM of 49,965,311 is 14705635.

GCF of Denominators means GCF of 370,627,358 as per the given fractions.

GCF of 370,627,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,965,311

LCM of Fractions 49/370,965/627,311/358 is 14705635

Given numbers has no common factors except 1. So, there LCM is their product i.e 14705635

Least Common Multiple of 49,965,311 with GCF Formula

Least Common Multiple of 49,965,311 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 49,965,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,965,311) = 1

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

GCF(49,965,311) x common factors =1 x 1 = 1

LCM(49,965,311) = ( 49 × 965 × 311 ) / 1

LCM(49,965,311) = 14705635 / 1

LCM(49,965,311) = 14705635


Lets's calculate GCF of 370,627,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14705635/1

Therefore the LCM of Fractions 49/370,965/627,311/358 is 14705635

Greatest Common Factor of 370,627,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,627,358 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 370,627,358 . The biggest common factor number is the GCF number.
So the greatest common factor 370,627,358 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 49/370, 965/627, 311/358

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 49/370, 965/627, 311/358?

Answer: LCM of Numerators as per given numbers 49/370, 965/627, 311/358 is

LCM of Numerators i.e. for 49,965,311 is 14705635

GCF of denominators i.e. for 370,627,358 is 1.

Thus, LCM of Fractions is 14705635.Finally, LCM of Fractions for 49/370, 965/627, 311/358 is 14705635.