Least Common Multiple of 126/620, 8435/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/620, 8435/554 quickly i.e. 75915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/620, 8435/554 is 75915.

LCM(126/620, 8435/554) = 75915

LCM of 126/620, 8435/554

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 126/620,8435/554

Given numbers are 126/620,8435/554

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 126,8435

Least Common Multiple of Numerators i.e. LCM of 126,8435 is 151830.

GCF of Denominators means GCF of 620,554 as per the given fractions.

GCF of 620,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,8435

LCM of Fractions 126/620,8435/554 is 75915

7 126, 8435
18, 1205

∴ So the LCM of the given numbers is 7 x 18 x 1205 = 151830

Least Common Multiple of 126,8435 with GCF Formula

Least Common Multiple of 126,8435 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 126,8435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,8435) = 7

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

GCF(126,8435) x common factors =7 x 1 = 7

LCM(126,8435) = ( 126 × 8435 ) / 7

LCM(126,8435) = 1062810 / 7

LCM(126,8435) = 151830


Lets's calculate GCF of 620,554

2 620, 554
310, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151830/2

Therefore the LCM of Fractions 126/620,8435/554 is 75915

Greatest Common Factor of 620,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,554 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 620,554 . The biggest common factor number is the GCF number.
So the greatest common factor 620,554 is 2.


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 126/620, 8435/554

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 126/620, 8435/554?

Answer: LCM of Numerators as per given numbers 126/620, 8435/554 is

LCM of Numerators i.e. for 126,8435 is 151830

GCF of denominators i.e. for 620,554 is 2.

Thus, LCM of Fractions is 75915.Finally, LCM of Fractions for 126/620, 8435/554 is 75915.