Least Common Multiple of 45/154, 58/672, 207/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/154, 58/672, 207/846 quickly i.e. 30015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/154, 58/672, 207/846 is 30015.

LCM(45/154, 58/672, 207/846) = 30015

LCM of 45/154, 58/672, 207/846

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 45/154,58/672,207/846

Given numbers are 45/154,58/672,207/846

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 45,58,207

Least Common Multiple of Numerators i.e. LCM of 45,58,207 is 60030.

GCF of Denominators means GCF of 154,672,846 as per the given fractions.

GCF of 154,672,846 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,58,207

LCM of Fractions 45/154,58/672,207/846 is 30015

3 45, 58, 207
3 15, 58, 69
5, 58, 23

∴ So the LCM of the given numbers is 3 x 3 x 5 x 58 x 23 = 60030

Least Common Multiple of 45,58,207 with GCF Formula

Least Common Multiple of 45,58,207 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 45,58,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,58,207) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(45,58,207) x common factors =1 x 9 = 9

LCM(45,58,207) = ( 45 × 58 × 207 ) / 9

LCM(45,58,207) = 540270 / 9

LCM(45,58,207) = 60030


Lets's calculate GCF of 154,672,846

2 154, 672, 846
77, 336, 423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60030/2

Therefore the LCM of Fractions 45/154,58/672,207/846 is 30015

Greatest Common Factor of 154,672,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,672,846 By Matching Biggest Common Factor Method

Factors of 154

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

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

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 154,672,846 . The biggest common factor number is the GCF number.
So the greatest common factor 154,672,846 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 45/154, 58/672, 207/846

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 45/154, 58/672, 207/846?

Answer: LCM of Numerators as per given numbers 45/154, 58/672, 207/846 is

LCM of Numerators i.e. for 45,58,207 is 60030

GCF of denominators i.e. for 154,672,846 is 2.

Thus, LCM of Fractions is 30015.Finally, LCM of Fractions for 45/154, 58/672, 207/846 is 30015.