Least Common Multiple of 6506/154, 1274/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6506/154, 1274/378 quickly i.e. 296023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6506/154, 1274/378 is 296023.

LCM(6506/154, 1274/378) = 296023

LCM of 6506/154, 1274/378

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 6506/154,1274/378

Given numbers are 6506/154,1274/378

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 6506,1274

Least Common Multiple of Numerators i.e. LCM of 6506,1274 is 4144322.

GCF of Denominators means GCF of 154,378 as per the given fractions.

GCF of 154,378 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6506,1274

LCM of Fractions 6506/154,1274/378 is 296023

2 6506, 1274
3253, 637

∴ So the LCM of the given numbers is 2 x 3253 x 637 = 4144322

Least Common Multiple of 6506,1274 with GCF Formula

Least Common Multiple of 6506,1274 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 6506,1274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6506,1274) = 2

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

GCF(6506,1274) x common factors =2 x 1 = 2

LCM(6506,1274) = ( 6506 × 1274 ) / 2

LCM(6506,1274) = 8288644 / 2

LCM(6506,1274) = 4144322


Lets's calculate GCF of 154,378

2 154, 378
7 77, 189
11, 27

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4144322/14

Therefore the LCM of Fractions 6506/154,1274/378 is 296023

Greatest Common Factor of 154,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,378 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 154,378 . The biggest common factor number is the GCF number.
So the greatest common factor 154,378 is 14.


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 6506/154, 1274/378

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 6506/154, 1274/378?

Answer: LCM of Numerators as per given numbers 6506/154, 1274/378 is

LCM of Numerators i.e. for 6506,1274 is 4144322

GCF of denominators i.e. for 154,378 is 14.

Thus, LCM of Fractions is 296023.Finally, LCM of Fractions for 6506/154, 1274/378 is 296023.