Least Common Multiple of 51/99, 506/71, 859/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/99, 506/71, 859/700 quickly i.e. 22167354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/99, 506/71, 859/700 is 22167354.

LCM(51/99, 506/71, 859/700) = 22167354

LCM of 51/99, 506/71, 859/700

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 51/99,506/71,859/700

Given numbers are 51/99,506/71,859/700

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 51,506,859

Least Common Multiple of Numerators i.e. LCM of 51,506,859 is 22167354.

GCF of Denominators means GCF of 99,71,700 as per the given fractions.

GCF of 99,71,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,506,859

LCM of Fractions 51/99,506/71,859/700 is 22167354

Given numbers has no common factors except 1. So, there LCM is their product i.e 22167354

Least Common Multiple of 51,506,859 with GCF Formula

Least Common Multiple of 51,506,859 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 51,506,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,506,859) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(51,506,859) x common factors =1 x 1 = 1

LCM(51,506,859) = ( 51 × 506 × 859 ) / 1

LCM(51,506,859) = 22167354 / 1

LCM(51,506,859) = 22167354


Lets's calculate GCF of 99,71,700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22167354/1

Therefore the LCM of Fractions 51/99,506/71,859/700 is 22167354

Greatest Common Factor of 99,71,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,71,700 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 99,71,700 . The biggest common factor number is the GCF number.
So the greatest common factor 99,71,700 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 51/99, 506/71, 859/700

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 51/99, 506/71, 859/700?

Answer: LCM of Numerators as per given numbers 51/99, 506/71, 859/700 is

LCM of Numerators i.e. for 51,506,859 is 22167354

GCF of denominators i.e. for 99,71,700 is 1.

Thus, LCM of Fractions is 22167354.Finally, LCM of Fractions for 51/99, 506/71, 859/700 is 22167354.