Least Common Multiple of 90/840, 990/428, 383/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/840, 990/428, 383/771 quickly i.e. 379170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/840, 990/428, 383/771 is 379170.

LCM(90/840, 990/428, 383/771) = 379170

LCM of 90/840, 990/428, 383/771

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 90/840,990/428,383/771

Given numbers are 90/840,990/428,383/771

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 90,990,383

Least Common Multiple of Numerators i.e. LCM of 90,990,383 is 379170.

GCF of Denominators means GCF of 840,428,771 as per the given fractions.

GCF of 840,428,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,990,383

LCM of Fractions 90/840,990/428,383/771 is 379170

2 90, 990, 383
3 45, 495, 383
3 15, 165, 383
5 5, 55, 383
1, 11, 383

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 11 x 383 = 379170

Least Common Multiple of 90,990,383 with GCF Formula

Least Common Multiple of 90,990,383 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 90,990,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,990,383) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(90,990,383) x common factors =1 x 90 = 90

LCM(90,990,383) = ( 90 × 990 × 383 ) / 90

LCM(90,990,383) = 34125300 / 90

LCM(90,990,383) = 379170


Lets's calculate GCF of 840,428,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 379170/1

Therefore the LCM of Fractions 90/840,990/428,383/771 is 379170

Greatest Common Factor of 840,428,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,428,771 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 840,428,771 . The biggest common factor number is the GCF number.
So the greatest common factor 840,428,771 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 90/840, 990/428, 383/771

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 90/840, 990/428, 383/771?

Answer: LCM of Numerators as per given numbers 90/840, 990/428, 383/771 is

LCM of Numerators i.e. for 90,990,383 is 379170

GCF of denominators i.e. for 840,428,771 is 1.

Thus, LCM of Fractions is 379170.Finally, LCM of Fractions for 90/840, 990/428, 383/771 is 379170.