Least Common Multiple of 52/85, 457/98, 914/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/85, 457/98, 914/420 quickly i.e. 23764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/85, 457/98, 914/420 is 23764.

LCM(52/85, 457/98, 914/420) = 23764

LCM of 52/85, 457/98, 914/420

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 52/85,457/98,914/420

Given numbers are 52/85,457/98,914/420

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 52,457,914

Least Common Multiple of Numerators i.e. LCM of 52,457,914 is 23764.

GCF of Denominators means GCF of 85,98,420 as per the given fractions.

GCF of 85,98,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,457,914

LCM of Fractions 52/85,457/98,914/420 is 23764

2 52, 457, 914
457 26, 457, 457
26, 1, 1

∴ So the LCM of the given numbers is 2 x 457 x 26 x 1 x 1 = 23764

Least Common Multiple of 52,457,914 with GCF Formula

Least Common Multiple of 52,457,914 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 52,457,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,457,914) = 1

common factors(in case of two or more numbers have common factors) = 914

GCF(52,457,914) x common factors =1 x 914 = 914

LCM(52,457,914) = ( 52 × 457 × 914 ) / 914

LCM(52,457,914) = 21720296 / 914

LCM(52,457,914) = 23764


Lets's calculate GCF of 85,98,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23764/1

Therefore the LCM of Fractions 52/85,457/98,914/420 is 23764

Greatest Common Factor of 85,98,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,98,420 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

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

Greatest Common Factor

We found the factors 85,98,420 . The biggest common factor number is the GCF number.
So the greatest common factor 85,98,420 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 52/85, 457/98, 914/420

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 52/85, 457/98, 914/420?

Answer: LCM of Numerators as per given numbers 52/85, 457/98, 914/420 is

LCM of Numerators i.e. for 52,457,914 is 23764

GCF of denominators i.e. for 85,98,420 is 1.

Thus, LCM of Fractions is 23764.Finally, LCM of Fractions for 52/85, 457/98, 914/420 is 23764.