Least Common Multiple of 748/196, 3654/2793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/196, 3654/2793 quickly i.e. 1366596/49 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/196, 3654/2793 is 1366596/49.

LCM(748/196, 3654/2793) = 1366596/49

LCM of 748/196, 3654/2793

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 748/196,3654/2793

Given numbers are 748/196,3654/2793

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 748,3654

Least Common Multiple of Numerators i.e. LCM of 748,3654 is 1366596.

GCF of Denominators means GCF of 196,2793 as per the given fractions.

GCF of 196,2793 is 49 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,3654

LCM of Fractions 748/196,3654/2793 is 1366596/49

2 748, 3654
374, 1827

∴ So the LCM of the given numbers is 2 x 374 x 1827 = 1366596

Least Common Multiple of 748,3654 with GCF Formula

Least Common Multiple of 748,3654 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 748,3654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,3654) = 2

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

GCF(748,3654) x common factors =2 x 1 = 2

LCM(748,3654) = ( 748 × 3654 ) / 2

LCM(748,3654) = 2733192 / 2

LCM(748,3654) = 1366596


Lets's calculate GCF of 196,2793

7 196, 2793
7 28, 399
4, 57

∴ So the GCF of the given numbers is 7 x 7 = 49

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1366596/49

Therefore the LCM of Fractions 748/196,3654/2793 is 1366596/49

Greatest Common Factor of 196,2793 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,2793 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 2793

List of positive integer factors of 2793 that divides 2793 without a remainder.

1,3,7,19,21,49,57,133,147,399,931,2793

Greatest Common Factor

We found the factors 196,2793 . The biggest common factor number is the GCF number.
So the greatest common factor 196,2793 is 49.


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 748/196, 3654/2793

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 748/196, 3654/2793?

Answer: LCM of Numerators as per given numbers 748/196, 3654/2793 is

LCM of Numerators i.e. for 748,3654 is 1366596

GCF of denominators i.e. for 196,2793 is 49.

Thus, LCM of Fractions is 1366596/49.Finally, LCM of Fractions for 748/196, 3654/2793 is 1366596/49.