Least Common Multiple of 342/962, 438/420, 722/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/962, 438/420, 722/355 quickly i.e. 474354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/962, 438/420, 722/355 is 474354.

LCM(342/962, 438/420, 722/355) = 474354

LCM of 342/962, 438/420, 722/355

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 342/962,438/420,722/355

Given numbers are 342/962,438/420,722/355

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 342,438,722

Least Common Multiple of Numerators i.e. LCM of 342,438,722 is 474354.

GCF of Denominators means GCF of 962,420,355 as per the given fractions.

GCF of 962,420,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,438,722

LCM of Fractions 342/962,438/420,722/355 is 474354

2 342, 438, 722
3 171, 219, 361
19 57, 73, 361
3, 73, 19

∴ So the LCM of the given numbers is 2 x 3 x 19 x 3 x 73 x 19 = 474354

Least Common Multiple of 342,438,722 with GCF Formula

Least Common Multiple of 342,438,722 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 342,438,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,438,722) = 2

common factors(in case of two or more numbers have common factors) = 114

GCF(342,438,722) x common factors =2 x 114 = 228

LCM(342,438,722) = ( 342 × 438 × 722 ) / 228

LCM(342,438,722) = 108152712 / 228

LCM(342,438,722) = 474354


Lets's calculate GCF of 962,420,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474354/1

Therefore the LCM of Fractions 342/962,438/420,722/355 is 474354

Greatest Common Factor of 962,420,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,420,355 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 962,420,355 . The biggest common factor number is the GCF number.
So the greatest common factor 962,420,355 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 342/962, 438/420, 722/355

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 342/962, 438/420, 722/355?

Answer: LCM of Numerators as per given numbers 342/962, 438/420, 722/355 is

LCM of Numerators i.e. for 342,438,722 is 474354

GCF of denominators i.e. for 962,420,355 is 1.

Thus, LCM of Fractions is 474354.Finally, LCM of Fractions for 342/962, 438/420, 722/355 is 474354.