Least Common Multiple of 800/148, 5426/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 800/148, 5426/912 quickly i.e. 542600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 800/148, 5426/912 is 542600.

LCM(800/148, 5426/912) = 542600

LCM of 800/148, 5426/912

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 800/148,5426/912

Given numbers are 800/148,5426/912

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 800,5426

Least Common Multiple of Numerators i.e. LCM of 800,5426 is 2170400.

GCF of Denominators means GCF of 148,912 as per the given fractions.

GCF of 148,912 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 800,5426

LCM of Fractions 800/148,5426/912 is 542600

2 800, 5426
400, 2713

∴ So the LCM of the given numbers is 2 x 400 x 2713 = 2170400

Least Common Multiple of 800,5426 with GCF Formula

Least Common Multiple of 800,5426 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 800,5426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,5426) = 2

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

GCF(800,5426) x common factors =2 x 1 = 2

LCM(800,5426) = ( 800 × 5426 ) / 2

LCM(800,5426) = 4340800 / 2

LCM(800,5426) = 2170400


Lets's calculate GCF of 148,912

2 148, 912
2 74, 456
37, 228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2170400/4

Therefore the LCM of Fractions 800/148,5426/912 is 542600

Greatest Common Factor of 148,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,912 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 148,912 . The biggest common factor number is the GCF number.
So the greatest common factor 148,912 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 800/148, 5426/912

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 800/148, 5426/912?

Answer: LCM of Numerators as per given numbers 800/148, 5426/912 is

LCM of Numerators i.e. for 800,5426 is 2170400

GCF of denominators i.e. for 148,912 is 4.

Thus, LCM of Fractions is 542600.Finally, LCM of Fractions for 800/148, 5426/912 is 542600.