Least Common Multiple of 770/64, 143/67, 442/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 770/64, 143/67, 442/424 quickly i.e. 170170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/64, 143/67, 442/424 is 170170.

LCM(770/64, 143/67, 442/424) = 170170

LCM of 770/64, 143/67, 442/424

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 770/64,143/67,442/424

Given numbers are 770/64,143/67,442/424

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 770,143,442

Least Common Multiple of Numerators i.e. LCM of 770,143,442 is 170170.

GCF of Denominators means GCF of 64,67,424 as per the given fractions.

GCF of 64,67,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,143,442

LCM of Fractions 770/64,143/67,442/424 is 170170

2 770, 143, 442
11 385, 143, 221
13 35, 13, 221
35, 1, 17

∴ So the LCM of the given numbers is 2 x 11 x 13 x 35 x 1 x 17 = 170170

Least Common Multiple of 770,143,442 with GCF Formula

Least Common Multiple of 770,143,442 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 770,143,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,143,442) = 1

common factors(in case of two or more numbers have common factors) = 286

GCF(770,143,442) x common factors =1 x 286 = 286

LCM(770,143,442) = ( 770 × 143 × 442 ) / 286

LCM(770,143,442) = 48668620 / 286

LCM(770,143,442) = 170170


Lets's calculate GCF of 64,67,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170170/1

Therefore the LCM of Fractions 770/64,143/67,442/424 is 170170

Greatest Common Factor of 64,67,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,67,424 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 67

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

1,67

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 64,67,424 . The biggest common factor number is the GCF number.
So the greatest common factor 64,67,424 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 770/64, 143/67, 442/424

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 770/64, 143/67, 442/424?

Answer: LCM of Numerators as per given numbers 770/64, 143/67, 442/424 is

LCM of Numerators i.e. for 770,143,442 is 170170

GCF of denominators i.e. for 64,67,424 is 1.

Thus, LCM of Fractions is 170170.Finally, LCM of Fractions for 770/64, 143/67, 442/424 is 170170.