Least Common Multiple of 63/869, 51/708, 100/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 63/869, 51/708, 100/253 quickly i.e. 107100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/869, 51/708, 100/253 is 107100.

LCM(63/869, 51/708, 100/253) = 107100

LCM of 63/869, 51/708, 100/253

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 63/869,51/708,100/253

Given numbers are 63/869,51/708,100/253

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 63,51,100

Least Common Multiple of Numerators i.e. LCM of 63,51,100 is 107100.

GCF of Denominators means GCF of 869,708,253 as per the given fractions.

GCF of 869,708,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,51,100

LCM of Fractions 63/869,51/708,100/253 is 107100

3 63, 51, 100
21, 17, 100

∴ So the LCM of the given numbers is 3 x 21 x 17 x 100 = 107100

Least Common Multiple of 63,51,100 with GCF Formula

Least Common Multiple of 63,51,100 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 63,51,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,51,100) = 1

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

GCF(63,51,100) x common factors =1 x 3 = 3

LCM(63,51,100) = ( 63 × 51 × 100 ) / 3

LCM(63,51,100) = 321300 / 3

LCM(63,51,100) = 107100


Lets's calculate GCF of 869,708,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107100/1

Therefore the LCM of Fractions 63/869,51/708,100/253 is 107100

Greatest Common Factor of 869,708,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,708,253 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 869,708,253 . The biggest common factor number is the GCF number.
So the greatest common factor 869,708,253 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 63/869, 51/708, 100/253

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 63/869, 51/708, 100/253?

Answer: LCM of Numerators as per given numbers 63/869, 51/708, 100/253 is

LCM of Numerators i.e. for 63,51,100 is 107100

GCF of denominators i.e. for 869,708,253 is 1.

Thus, LCM of Fractions is 107100.Finally, LCM of Fractions for 63/869, 51/708, 100/253 is 107100.