Least Common Multiple of 704/948, 8500/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/948, 8500/400 quickly i.e. 374000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/948, 8500/400 is 374000.

LCM(704/948, 8500/400) = 374000

LCM of 704/948, 8500/400

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 704/948,8500/400

Given numbers are 704/948,8500/400

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 704,8500

Least Common Multiple of Numerators i.e. LCM of 704,8500 is 1496000.

GCF of Denominators means GCF of 948,400 as per the given fractions.

GCF of 948,400 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,8500

LCM of Fractions 704/948,8500/400 is 374000

2 704, 8500
2 352, 4250
176, 2125

∴ So the LCM of the given numbers is 2 x 2 x 176 x 2125 = 1496000

Least Common Multiple of 704,8500 with GCF Formula

Least Common Multiple of 704,8500 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 704,8500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,8500) = 4

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

GCF(704,8500) x common factors =4 x 1 = 4

LCM(704,8500) = ( 704 × 8500 ) / 4

LCM(704,8500) = 5984000 / 4

LCM(704,8500) = 1496000


Lets's calculate GCF of 948,400

2 948, 400
2 474, 200
237, 100

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1496000/4

Therefore the LCM of Fractions 704/948,8500/400 is 374000

Greatest Common Factor of 948,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,400 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 948,400 . The biggest common factor number is the GCF number.
So the greatest common factor 948,400 is 4.


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 704/948, 8500/400

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 704/948, 8500/400?

Answer: LCM of Numerators as per given numbers 704/948, 8500/400 is

LCM of Numerators i.e. for 704,8500 is 1496000

GCF of denominators i.e. for 948,400 is 4.

Thus, LCM of Fractions is 374000.Finally, LCM of Fractions for 704/948, 8500/400 is 374000.