Least Common Multiple of 150/35, 712/53, 534/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/35, 712/53, 534/404 quickly i.e. 53400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/35, 712/53, 534/404 is 53400.

LCM(150/35, 712/53, 534/404) = 53400

LCM of 150/35, 712/53, 534/404

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 150/35,712/53,534/404

Given numbers are 150/35,712/53,534/404

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 150,712,534

Least Common Multiple of Numerators i.e. LCM of 150,712,534 is 53400.

GCF of Denominators means GCF of 35,53,404 as per the given fractions.

GCF of 35,53,404 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,712,534

LCM of Fractions 150/35,712/53,534/404 is 53400

2 150, 712, 534
3 75, 356, 267
89 25, 356, 89
25, 4, 1

∴ So the LCM of the given numbers is 2 x 3 x 89 x 25 x 4 x 1 = 53400

Least Common Multiple of 150,712,534 with GCF Formula

Least Common Multiple of 150,712,534 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 150,712,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,712,534) = 2

common factors(in case of two or more numbers have common factors) = 534

GCF(150,712,534) x common factors =2 x 534 = 1068

LCM(150,712,534) = ( 150 × 712 × 534 ) / 1068

LCM(150,712,534) = 57031200 / 1068

LCM(150,712,534) = 53400


Lets's calculate GCF of 35,53,404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53400/1

Therefore the LCM of Fractions 150/35,712/53,534/404 is 53400

Greatest Common Factor of 35,53,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,53,404 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 35,53,404 . The biggest common factor number is the GCF number.
So the greatest common factor 35,53,404 is 1.


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 150/35, 712/53, 534/404

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 150/35, 712/53, 534/404?

Answer: LCM of Numerators as per given numbers 150/35, 712/53, 534/404 is

LCM of Numerators i.e. for 150,712,534 is 53400

GCF of denominators i.e. for 35,53,404 is 1.

Thus, LCM of Fractions is 53400.Finally, LCM of Fractions for 150/35, 712/53, 534/404 is 53400.