Least Common Multiple of 153/67, 142/25, 608/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 153/67, 142/25, 608/280 quickly i.e. 6604704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 153/67, 142/25, 608/280 is 6604704.

LCM(153/67, 142/25, 608/280) = 6604704

LCM of 153/67, 142/25, 608/280

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 153/67,142/25,608/280

Given numbers are 153/67,142/25,608/280

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 153,142,608

Least Common Multiple of Numerators i.e. LCM of 153,142,608 is 6604704.

GCF of Denominators means GCF of 67,25,280 as per the given fractions.

GCF of 67,25,280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 153,142,608

LCM of Fractions 153/67,142/25,608/280 is 6604704

2 153, 142, 608
153, 71, 304

∴ So the LCM of the given numbers is 2 x 153 x 71 x 304 = 6604704

Least Common Multiple of 153,142,608 with GCF Formula

Least Common Multiple of 153,142,608 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 153,142,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,142,608) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(153,142,608) x common factors =1 x 2 = 2

LCM(153,142,608) = ( 153 × 142 × 608 ) / 2

LCM(153,142,608) = 13209408 / 2

LCM(153,142,608) = 6604704


Lets's calculate GCF of 67,25,280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6604704/1

Therefore the LCM of Fractions 153/67,142/25,608/280 is 6604704

Greatest Common Factor of 67,25,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,25,280 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 67,25,280 . The biggest common factor number is the GCF number.
So the greatest common factor 67,25,280 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 153/67, 142/25, 608/280

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 153/67, 142/25, 608/280?

Answer: LCM of Numerators as per given numbers 153/67, 142/25, 608/280 is

LCM of Numerators i.e. for 153,142,608 is 6604704

GCF of denominators i.e. for 67,25,280 is 1.

Thus, LCM of Fractions is 6604704.Finally, LCM of Fractions for 153/67, 142/25, 608/280 is 6604704.