Least Common Multiple of 89/420, 92/841, 919/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/420, 92/841, 919/546 quickly i.e. 7524772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/420, 92/841, 919/546 is 7524772.

LCM(89/420, 92/841, 919/546) = 7524772

LCM of 89/420, 92/841, 919/546

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 89/420,92/841,919/546

Given numbers are 89/420,92/841,919/546

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 89,92,919

Least Common Multiple of Numerators i.e. LCM of 89,92,919 is 7524772.

GCF of Denominators means GCF of 420,841,546 as per the given fractions.

GCF of 420,841,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,92,919

LCM of Fractions 89/420,92/841,919/546 is 7524772

Given numbers has no common factors except 1. So, there LCM is their product i.e 7524772

Least Common Multiple of 89,92,919 with GCF Formula

Least Common Multiple of 89,92,919 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 89,92,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,92,919) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,92,919) x common factors =1 x 1 = 1

LCM(89,92,919) = ( 89 × 92 × 919 ) / 1

LCM(89,92,919) = 7524772 / 1

LCM(89,92,919) = 7524772


Lets's calculate GCF of 420,841,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7524772/1

Therefore the LCM of Fractions 89/420,92/841,919/546 is 7524772

Greatest Common Factor of 420,841,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,841,546 By Matching Biggest Common Factor Method

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 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 420,841,546 . The biggest common factor number is the GCF number.
So the greatest common factor 420,841,546 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 89/420, 92/841, 919/546

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 89/420, 92/841, 919/546?

Answer: LCM of Numerators as per given numbers 89/420, 92/841, 919/546 is

LCM of Numerators i.e. for 89,92,919 is 7524772

GCF of denominators i.e. for 420,841,546 is 1.

Thus, LCM of Fractions is 7524772.Finally, LCM of Fractions for 89/420, 92/841, 919/546 is 7524772.