Least Common Multiple of 92/227, 15/218, 690/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/227, 15/218, 690/951 quickly i.e. 1380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/227, 15/218, 690/951 is 1380.

LCM(92/227, 15/218, 690/951) = 1380

LCM of 92/227, 15/218, 690/951

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 92/227,15/218,690/951

Given numbers are 92/227,15/218,690/951

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 92,15,690

Least Common Multiple of Numerators i.e. LCM of 92,15,690 is 1380.

GCF of Denominators means GCF of 227,218,951 as per the given fractions.

GCF of 227,218,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,15,690

LCM of Fractions 92/227,15/218,690/951 is 1380

2 92, 15, 690
3 46, 15, 345
5 46, 5, 115
23 46, 1, 23
2, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 2 x 1 x 1 = 1380

Least Common Multiple of 92,15,690 with GCF Formula

Least Common Multiple of 92,15,690 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 92,15,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,15,690) = 1

common factors(in case of two or more numbers have common factors) = 690

GCF(92,15,690) x common factors =1 x 690 = 690

LCM(92,15,690) = ( 92 × 15 × 690 ) / 690

LCM(92,15,690) = 952200 / 690

LCM(92,15,690) = 1380


Lets's calculate GCF of 227,218,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1380/1

Therefore the LCM of Fractions 92/227,15/218,690/951 is 1380

Greatest Common Factor of 227,218,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,218,951 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 227,218,951 . The biggest common factor number is the GCF number.
So the greatest common factor 227,218,951 is 1.


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Frequently Asked Questions on Fractional LCM of 92/227, 15/218, 690/951

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 92/227, 15/218, 690/951?

Answer: LCM of Numerators as per given numbers 92/227, 15/218, 690/951 is

LCM of Numerators i.e. for 92,15,690 is 1380

GCF of denominators i.e. for 227,218,951 is 1.

Thus, LCM of Fractions is 1380.Finally, LCM of Fractions for 92/227, 15/218, 690/951 is 1380.