Least Common Multiple of 364/68, 420/84, 955/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/68, 420/84, 955/469 quickly i.e. 1042860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/68, 420/84, 955/469 is 1042860.

LCM(364/68, 420/84, 955/469) = 1042860

LCM of 364/68, 420/84, 955/469

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 364/68,420/84,955/469

Given numbers are 364/68,420/84,955/469

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 364,420,955

Least Common Multiple of Numerators i.e. LCM of 364,420,955 is 1042860.

GCF of Denominators means GCF of 68,84,469 as per the given fractions.

GCF of 68,84,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,420,955

LCM of Fractions 364/68,420/84,955/469 is 1042860

2 364, 420, 955
2 182, 210, 955
5 91, 105, 955
7 91, 21, 191
13, 3, 191

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 13 x 3 x 191 = 1042860

Least Common Multiple of 364,420,955 with GCF Formula

Least Common Multiple of 364,420,955 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 364,420,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,420,955) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(364,420,955) x common factors =1 x 140 = 140

LCM(364,420,955) = ( 364 × 420 × 955 ) / 140

LCM(364,420,955) = 146000400 / 140

LCM(364,420,955) = 1042860


Lets's calculate GCF of 68,84,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1042860/1

Therefore the LCM of Fractions 364/68,420/84,955/469 is 1042860

Greatest Common Factor of 68,84,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,84,469 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 68,84,469 . The biggest common factor number is the GCF number.
So the greatest common factor 68,84,469 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 364/68, 420/84, 955/469

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 364/68, 420/84, 955/469?

Answer: LCM of Numerators as per given numbers 364/68, 420/84, 955/469 is

LCM of Numerators i.e. for 364,420,955 is 1042860

GCF of denominators i.e. for 68,84,469 is 1.

Thus, LCM of Fractions is 1042860.Finally, LCM of Fractions for 364/68, 420/84, 955/469 is 1042860.