Least Common Multiple of 654/53, 175/84, 207/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 654/53, 175/84, 207/357 quickly i.e. 7897050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/53, 175/84, 207/357 is 7897050.

LCM(654/53, 175/84, 207/357) = 7897050

LCM of 654/53, 175/84, 207/357

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 654/53,175/84,207/357

Given numbers are 654/53,175/84,207/357

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 654,175,207

Least Common Multiple of Numerators i.e. LCM of 654,175,207 is 7897050.

GCF of Denominators means GCF of 53,84,357 as per the given fractions.

GCF of 53,84,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,175,207

LCM of Fractions 654/53,175/84,207/357 is 7897050

3 654, 175, 207
218, 175, 69

∴ So the LCM of the given numbers is 3 x 218 x 175 x 69 = 7897050

Least Common Multiple of 654,175,207 with GCF Formula

Least Common Multiple of 654,175,207 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 654,175,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,175,207) = 1

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

GCF(654,175,207) x common factors =1 x 3 = 3

LCM(654,175,207) = ( 654 × 175 × 207 ) / 3

LCM(654,175,207) = 23691150 / 3

LCM(654,175,207) = 7897050


Lets's calculate GCF of 53,84,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7897050/1

Therefore the LCM of Fractions 654/53,175/84,207/357 is 7897050

Greatest Common Factor of 53,84,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,84,357 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 53,84,357 . The biggest common factor number is the GCF number.
So the greatest common factor 53,84,357 is 1.


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 654/53, 175/84, 207/357

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 654/53, 175/84, 207/357?

Answer: LCM of Numerators as per given numbers 654/53, 175/84, 207/357 is

LCM of Numerators i.e. for 654,175,207 is 7897050

GCF of denominators i.e. for 53,84,357 is 1.

Thus, LCM of Fractions is 7897050.Finally, LCM of Fractions for 654/53, 175/84, 207/357 is 7897050.