Least Common Multiple of 892/276, 4020/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/276, 4020/104 quickly i.e. 224115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/276, 4020/104 is 224115.

LCM(892/276, 4020/104) = 224115

LCM of 892/276, 4020/104

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 892/276,4020/104

Given numbers are 892/276,4020/104

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 892,4020

Least Common Multiple of Numerators i.e. LCM of 892,4020 is 896460.

GCF of Denominators means GCF of 276,104 as per the given fractions.

GCF of 276,104 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,4020

LCM of Fractions 892/276,4020/104 is 224115

2 892, 4020
2 446, 2010
223, 1005

∴ So the LCM of the given numbers is 2 x 2 x 223 x 1005 = 896460

Least Common Multiple of 892,4020 with GCF Formula

Least Common Multiple of 892,4020 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 892,4020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,4020) = 4

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

GCF(892,4020) x common factors =4 x 1 = 4

LCM(892,4020) = ( 892 × 4020 ) / 4

LCM(892,4020) = 3585840 / 4

LCM(892,4020) = 896460


Lets's calculate GCF of 276,104

2 276, 104
2 138, 52
69, 26

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896460/4

Therefore the LCM of Fractions 892/276,4020/104 is 224115

Greatest Common Factor of 276,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,104 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 276,104 . The biggest common factor number is the GCF number.
So the greatest common factor 276,104 is 4.


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 892/276, 4020/104

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 892/276, 4020/104?

Answer: LCM of Numerators as per given numbers 892/276, 4020/104 is

LCM of Numerators i.e. for 892,4020 is 896460

GCF of denominators i.e. for 276,104 is 4.

Thus, LCM of Fractions is 224115.Finally, LCM of Fractions for 892/276, 4020/104 is 224115.