Least Common Multiple of 24/692, 612/101, 616/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/692, 612/101, 616/373 quickly i.e. 94248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/692, 612/101, 616/373 is 94248.

LCM(24/692, 612/101, 616/373) = 94248

LCM of 24/692, 612/101, 616/373

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 24/692,612/101,616/373

Given numbers are 24/692,612/101,616/373

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 24,612,616

Least Common Multiple of Numerators i.e. LCM of 24,612,616 is 94248.

GCF of Denominators means GCF of 692,101,373 as per the given fractions.

GCF of 692,101,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,612,616

LCM of Fractions 24/692,612/101,616/373 is 94248

2 24, 612, 616
2 12, 306, 308
2 6, 153, 154
3 3, 153, 77
1, 51, 77

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 51 x 77 = 94248

Least Common Multiple of 24,612,616 with GCF Formula

Least Common Multiple of 24,612,616 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 24,612,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,612,616) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(24,612,616) x common factors =4 x 24 = 96

LCM(24,612,616) = ( 24 × 612 × 616 ) / 96

LCM(24,612,616) = 9047808 / 96

LCM(24,612,616) = 94248


Lets's calculate GCF of 692,101,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94248/1

Therefore the LCM of Fractions 24/692,612/101,616/373 is 94248

Greatest Common Factor of 692,101,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,101,373 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 692,101,373 . The biggest common factor number is the GCF number.
So the greatest common factor 692,101,373 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/692, 612/101, 616/373

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 24/692, 612/101, 616/373?

Answer: LCM of Numerators as per given numbers 24/692, 612/101, 616/373 is

LCM of Numerators i.e. for 24,612,616 is 94248

GCF of denominators i.e. for 692,101,373 is 1.

Thus, LCM of Fractions is 94248.Finally, LCM of Fractions for 24/692, 612/101, 616/373 is 94248.