Least Common Multiple of 3496/147, 1740/7908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3496/147, 1740/7908 quickly i.e. 506920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3496/147, 1740/7908 is 506920.

LCM(3496/147, 1740/7908) = 506920

LCM of 3496/147, 1740/7908

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 3496/147,1740/7908

Given numbers are 3496/147,1740/7908

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 3496,1740

Least Common Multiple of Numerators i.e. LCM of 3496,1740 is 1520760.

GCF of Denominators means GCF of 147,7908 as per the given fractions.

GCF of 147,7908 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3496,1740

LCM of Fractions 3496/147,1740/7908 is 506920

2 3496, 1740
2 1748, 870
874, 435

∴ So the LCM of the given numbers is 2 x 2 x 874 x 435 = 1520760

Least Common Multiple of 3496,1740 with GCF Formula

Least Common Multiple of 3496,1740 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 3496,1740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3496,1740) = 4

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

GCF(3496,1740) x common factors =4 x 1 = 4

LCM(3496,1740) = ( 3496 × 1740 ) / 4

LCM(3496,1740) = 6083040 / 4

LCM(3496,1740) = 1520760


Lets's calculate GCF of 147,7908

3 147, 7908
49, 2636

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1520760/3

Therefore the LCM of Fractions 3496/147,1740/7908 is 506920

Greatest Common Factor of 147,7908 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,7908 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 7908

List of positive integer factors of 7908 that divides 7908 without a remainder.

1,2,3,4,6,12,659,1318,1977,2636,3954,7908

Greatest Common Factor

We found the factors 147,7908 . The biggest common factor number is the GCF number.
So the greatest common factor 147,7908 is 3.


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 3496/147, 1740/7908

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 3496/147, 1740/7908?

Answer: LCM of Numerators as per given numbers 3496/147, 1740/7908 is

LCM of Numerators i.e. for 3496,1740 is 1520760

GCF of denominators i.e. for 147,7908 is 3.

Thus, LCM of Fractions is 506920.Finally, LCM of Fractions for 3496/147, 1740/7908 is 506920.