Least Common Multiple of 36/679, 917/448, 148/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/679, 917/448, 148/803 quickly i.e. 1221444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/679, 917/448, 148/803 is 1221444.

LCM(36/679, 917/448, 148/803) = 1221444

LCM of 36/679, 917/448, 148/803

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 36/679,917/448,148/803

Given numbers are 36/679,917/448,148/803

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 36,917,148

Least Common Multiple of Numerators i.e. LCM of 36,917,148 is 1221444.

GCF of Denominators means GCF of 679,448,803 as per the given fractions.

GCF of 679,448,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,917,148

LCM of Fractions 36/679,917/448,148/803 is 1221444

2 36, 917, 148
2 18, 917, 74
9, 917, 37

∴ So the LCM of the given numbers is 2 x 2 x 9 x 917 x 37 = 1221444

Least Common Multiple of 36,917,148 with GCF Formula

Least Common Multiple of 36,917,148 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 36,917,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,917,148) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,917,148) x common factors =1 x 4 = 4

LCM(36,917,148) = ( 36 × 917 × 148 ) / 4

LCM(36,917,148) = 4885776 / 4

LCM(36,917,148) = 1221444


Lets's calculate GCF of 679,448,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1221444/1

Therefore the LCM of Fractions 36/679,917/448,148/803 is 1221444

Greatest Common Factor of 679,448,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,448,803 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 679,448,803 . The biggest common factor number is the GCF number.
So the greatest common factor 679,448,803 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 36/679, 917/448, 148/803

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 36/679, 917/448, 148/803?

Answer: LCM of Numerators as per given numbers 36/679, 917/448, 148/803 is

LCM of Numerators i.e. for 36,917,148 is 1221444

GCF of denominators i.e. for 679,448,803 is 1.

Thus, LCM of Fractions is 1221444.Finally, LCM of Fractions for 36/679, 917/448, 148/803 is 1221444.