Least Common Multiple of 949/748, 3878/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 949/748, 3878/865 quickly i.e. 3680222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 949/748, 3878/865 is 3680222.

LCM(949/748, 3878/865) = 3680222

LCM of 949/748, 3878/865

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 949/748,3878/865

Given numbers are 949/748,3878/865

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 949,3878

Least Common Multiple of Numerators i.e. LCM of 949,3878 is 3680222.

GCF of Denominators means GCF of 748,865 as per the given fractions.

GCF of 748,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 949,3878

LCM of Fractions 949/748,3878/865 is 3680222

Given numbers has no common factors except 1. So, there LCM is their product i.e 3680222

Least Common Multiple of 949,3878 with GCF Formula

Least Common Multiple of 949,3878 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 949,3878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,3878) = 1

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

GCF(949,3878) x common factors =1 x 1 = 1

LCM(949,3878) = ( 949 × 3878 ) / 1

LCM(949,3878) = 3680222 / 1

LCM(949,3878) = 3680222


Lets's calculate GCF of 748,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3680222/1

Therefore the LCM of Fractions 949/748,3878/865 is 3680222

Greatest Common Factor of 748,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,865 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 748,865 . The biggest common factor number is the GCF number.
So the greatest common factor 748,865 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 949/748, 3878/865

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 949/748, 3878/865?

Answer: LCM of Numerators as per given numbers 949/748, 3878/865 is

LCM of Numerators i.e. for 949,3878 is 3680222

GCF of denominators i.e. for 748,865 is 1.

Thus, LCM of Fractions is 3680222.Finally, LCM of Fractions for 949/748, 3878/865 is 3680222.