Least Common Multiple of 79/448, 37/565, 490/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/448, 37/565, 490/694 quickly i.e. 1432270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/448, 37/565, 490/694 is 1432270.

LCM(79/448, 37/565, 490/694) = 1432270

LCM of 79/448, 37/565, 490/694

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 79/448,37/565,490/694

Given numbers are 79/448,37/565,490/694

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 79,37,490

Least Common Multiple of Numerators i.e. LCM of 79,37,490 is 1432270.

GCF of Denominators means GCF of 448,565,694 as per the given fractions.

GCF of 448,565,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,37,490

LCM of Fractions 79/448,37/565,490/694 is 1432270

Given numbers has no common factors except 1. So, there LCM is their product i.e 1432270

Least Common Multiple of 79,37,490 with GCF Formula

Least Common Multiple of 79,37,490 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 79,37,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,37,490) = 1

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

GCF(79,37,490) x common factors =1 x 1 = 1

LCM(79,37,490) = ( 79 × 37 × 490 ) / 1

LCM(79,37,490) = 1432270 / 1

LCM(79,37,490) = 1432270


Lets's calculate GCF of 448,565,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1432270/1

Therefore the LCM of Fractions 79/448,37/565,490/694 is 1432270

Greatest Common Factor of 448,565,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,565,694 By Matching Biggest Common Factor Method

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 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 448,565,694 . The biggest common factor number is the GCF number.
So the greatest common factor 448,565,694 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 79/448, 37/565, 490/694

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 79/448, 37/565, 490/694?

Answer: LCM of Numerators as per given numbers 79/448, 37/565, 490/694 is

LCM of Numerators i.e. for 79,37,490 is 1432270

GCF of denominators i.e. for 448,565,694 is 1.

Thus, LCM of Fractions is 1432270.Finally, LCM of Fractions for 79/448, 37/565, 490/694 is 1432270.