Least Common Multiple of 704/148, 7640/4113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 704/148, 7640/4113 quickly i.e. 672320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/148, 7640/4113 is 672320.

LCM(704/148, 7640/4113) = 672320

LCM of 704/148, 7640/4113

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 704/148,7640/4113

Given numbers are 704/148,7640/4113

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 704,7640

Least Common Multiple of Numerators i.e. LCM of 704,7640 is 672320.

GCF of Denominators means GCF of 148,4113 as per the given fractions.

GCF of 148,4113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,7640

LCM of Fractions 704/148,7640/4113 is 672320

2 704, 7640
2 352, 3820
2 176, 1910
88, 955

∴ So the LCM of the given numbers is 2 x 2 x 2 x 88 x 955 = 672320

Least Common Multiple of 704,7640 with GCF Formula

Least Common Multiple of 704,7640 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 704,7640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,7640) = 8

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

GCF(704,7640) x common factors =8 x 1 = 8

LCM(704,7640) = ( 704 × 7640 ) / 8

LCM(704,7640) = 5378560 / 8

LCM(704,7640) = 672320


Lets's calculate GCF of 148,4113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672320/1

Therefore the LCM of Fractions 704/148,7640/4113 is 672320

Greatest Common Factor of 148,4113 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,4113 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 4113

List of positive integer factors of 4113 that divides 4113 without a remainder.

1,3,9,457,1371,4113

Greatest Common Factor

We found the factors 148,4113 . The biggest common factor number is the GCF number.
So the greatest common factor 148,4113 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 704/148, 7640/4113

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 704/148, 7640/4113?

Answer: LCM of Numerators as per given numbers 704/148, 7640/4113 is

LCM of Numerators i.e. for 704,7640 is 672320

GCF of denominators i.e. for 148,4113 is 1.

Thus, LCM of Fractions is 672320.Finally, LCM of Fractions for 704/148, 7640/4113 is 672320.