Least Common Multiple of 677/15, 222/48, 907/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/15, 222/48, 907/40 quickly i.e. 136316658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/15, 222/48, 907/40 is 136316658.

LCM(677/15, 222/48, 907/40) = 136316658

LCM of 677/15, 222/48, 907/40

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 677/15,222/48,907/40

Given numbers are 677/15,222/48,907/40

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 677,222,907

Least Common Multiple of Numerators i.e. LCM of 677,222,907 is 136316658.

GCF of Denominators means GCF of 15,48,40 as per the given fractions.

GCF of 15,48,40 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,222,907

LCM of Fractions 677/15,222/48,907/40 is 136316658

Given numbers has no common factors except 1. So, there LCM is their product i.e 136316658

Least Common Multiple of 677,222,907 with GCF Formula

Least Common Multiple of 677,222,907 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 677,222,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,222,907) = 1

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

GCF(677,222,907) x common factors =1 x 1 = 1

LCM(677,222,907) = ( 677 × 222 × 907 ) / 1

LCM(677,222,907) = 136316658 / 1

LCM(677,222,907) = 136316658


Lets's calculate GCF of 15,48,40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136316658/1

Therefore the LCM of Fractions 677/15,222/48,907/40 is 136316658

Greatest Common Factor of 15,48,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,48,40 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 15,48,40 . The biggest common factor number is the GCF number.
So the greatest common factor 15,48,40 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 677/15, 222/48, 907/40

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 677/15, 222/48, 907/40?

Answer: LCM of Numerators as per given numbers 677/15, 222/48, 907/40 is

LCM of Numerators i.e. for 677,222,907 is 136316658

GCF of denominators i.e. for 15,48,40 is 1.

Thus, LCM of Fractions is 136316658.Finally, LCM of Fractions for 677/15, 222/48, 907/40 is 136316658.