Least Common Multiple of 169/736, 237/435, 120/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 169/736, 237/435, 120/473 quickly i.e. 1602120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/736, 237/435, 120/473 is 1602120.

LCM(169/736, 237/435, 120/473) = 1602120

LCM of 169/736, 237/435, 120/473

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 169/736,237/435,120/473

Given numbers are 169/736,237/435,120/473

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 169,237,120

Least Common Multiple of Numerators i.e. LCM of 169,237,120 is 1602120.

GCF of Denominators means GCF of 736,435,473 as per the given fractions.

GCF of 736,435,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,237,120

LCM of Fractions 169/736,237/435,120/473 is 1602120

3 169, 237, 120
169, 79, 40

∴ So the LCM of the given numbers is 3 x 169 x 79 x 40 = 1602120

Least Common Multiple of 169,237,120 with GCF Formula

Least Common Multiple of 169,237,120 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 169,237,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,237,120) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(169,237,120) x common factors =1 x 3 = 3

LCM(169,237,120) = ( 169 × 237 × 120 ) / 3

LCM(169,237,120) = 4806360 / 3

LCM(169,237,120) = 1602120


Lets's calculate GCF of 736,435,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1602120/1

Therefore the LCM of Fractions 169/736,237/435,120/473 is 1602120

Greatest Common Factor of 736,435,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,435,473 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 736,435,473 . The biggest common factor number is the GCF number.
So the greatest common factor 736,435,473 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 169/736, 237/435, 120/473

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 169/736, 237/435, 120/473?

Answer: LCM of Numerators as per given numbers 169/736, 237/435, 120/473 is

LCM of Numerators i.e. for 169,237,120 is 1602120

GCF of denominators i.e. for 736,435,473 is 1.

Thus, LCM of Fractions is 1602120.Finally, LCM of Fractions for 169/736, 237/435, 120/473 is 1602120.