Least Common Multiple of 554/858, 120/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 554/858, 120/154 quickly i.e. 33240/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 554/858, 120/154 is 33240/22.

LCM(554/858, 120/154) = 33240/22

LCM of 554/858, 120/154

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 554/858,120/154

Given numbers are 554/858,120/154

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 554,120

Least Common Multiple of Numerators i.e. LCM of 554,120 is 33240.

GCF of Denominators means GCF of 858,154 as per the given fractions.

GCF of 858,154 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 554,120

LCM of Fractions 554/858,120/154 is 33240/22

2 554, 120
277, 60

∴ So the LCM of the given numbers is 2 x 277 x 60 = 33240

Least Common Multiple of 554,120 with GCF Formula

Least Common Multiple of 554,120 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 554,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,120) = 2

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

GCF(554,120) x common factors =2 x 1 = 2

LCM(554,120) = ( 554 × 120 ) / 2

LCM(554,120) = 66480 / 2

LCM(554,120) = 33240


Lets's calculate GCF of 858,154

2 858, 154
11 429, 77
39, 7

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33240/22

Therefore the LCM of Fractions 554/858,120/154 is 33240/22

Greatest Common Factor of 858,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,154 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 858,154 . The biggest common factor number is the GCF number.
So the greatest common factor 858,154 is 22.


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 554/858, 120/154

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 554/858, 120/154?

Answer: LCM of Numerators as per given numbers 554/858, 120/154 is

LCM of Numerators i.e. for 554,120 is 33240

GCF of denominators i.e. for 858,154 is 22.

Thus, LCM of Fractions is 33240/22.Finally, LCM of Fractions for 554/858, 120/154 is 33240/22.