Least Common Multiple of 553/46, 602/92, 690/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/46, 602/92, 690/372 quickly i.e. 8203755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/46, 602/92, 690/372 is 8203755.

LCM(553/46, 602/92, 690/372) = 8203755

LCM of 553/46, 602/92, 690/372

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 553/46,602/92,690/372

Given numbers are 553/46,602/92,690/372

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 553,602,690

Least Common Multiple of Numerators i.e. LCM of 553,602,690 is 16407510.

GCF of Denominators means GCF of 46,92,372 as per the given fractions.

GCF of 46,92,372 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,602,690

LCM of Fractions 553/46,602/92,690/372 is 8203755

2 553, 602, 690
7 553, 301, 345
79, 43, 345

∴ So the LCM of the given numbers is 2 x 7 x 79 x 43 x 345 = 16407510

Least Common Multiple of 553,602,690 with GCF Formula

Least Common Multiple of 553,602,690 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 553,602,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,602,690) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(553,602,690) x common factors =1 x 14 = 14

LCM(553,602,690) = ( 553 × 602 × 690 ) / 14

LCM(553,602,690) = 229705140 / 14

LCM(553,602,690) = 16407510


Lets's calculate GCF of 46,92,372

2 46, 92, 372
23, 46, 186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16407510/2

Therefore the LCM of Fractions 553/46,602/92,690/372 is 8203755

Greatest Common Factor of 46,92,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,92,372 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 46,92,372 . The biggest common factor number is the GCF number.
So the greatest common factor 46,92,372 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 553/46, 602/92, 690/372

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 553/46, 602/92, 690/372?

Answer: LCM of Numerators as per given numbers 553/46, 602/92, 690/372 is

LCM of Numerators i.e. for 553,602,690 is 16407510

GCF of denominators i.e. for 46,92,372 is 2.

Thus, LCM of Fractions is 8203755.Finally, LCM of Fractions for 553/46, 602/92, 690/372 is 8203755.