Least Common Multiple of 368/665, 917/967, 311/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/665, 917/967, 311/748 quickly i.e. 104948816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/665, 917/967, 311/748 is 104948816.

LCM(368/665, 917/967, 311/748) = 104948816

LCM of 368/665, 917/967, 311/748

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 368/665,917/967,311/748

Given numbers are 368/665,917/967,311/748

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 368,917,311

Least Common Multiple of Numerators i.e. LCM of 368,917,311 is 104948816.

GCF of Denominators means GCF of 665,967,748 as per the given fractions.

GCF of 665,967,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,917,311

LCM of Fractions 368/665,917/967,311/748 is 104948816

Given numbers has no common factors except 1. So, there LCM is their product i.e 104948816

Least Common Multiple of 368,917,311 with GCF Formula

Least Common Multiple of 368,917,311 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 368,917,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,917,311) = 1

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

GCF(368,917,311) x common factors =1 x 1 = 1

LCM(368,917,311) = ( 368 × 917 × 311 ) / 1

LCM(368,917,311) = 104948816 / 1

LCM(368,917,311) = 104948816


Lets's calculate GCF of 665,967,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104948816/1

Therefore the LCM of Fractions 368/665,917/967,311/748 is 104948816

Greatest Common Factor of 665,967,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,967,748 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

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

Greatest Common Factor

We found the factors 665,967,748 . The biggest common factor number is the GCF number.
So the greatest common factor 665,967,748 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 368/665, 917/967, 311/748

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 368/665, 917/967, 311/748?

Answer: LCM of Numerators as per given numbers 368/665, 917/967, 311/748 is

LCM of Numerators i.e. for 368,917,311 is 104948816

GCF of denominators i.e. for 665,967,748 is 1.

Thus, LCM of Fractions is 104948816.Finally, LCM of Fractions for 368/665, 917/967, 311/748 is 104948816.