Least Common Multiple of 700/978, 791/882, 889/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/978, 791/882, 889/375 quickly i.e. 10045700/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/978, 791/882, 889/375 is 10045700/3.

LCM(700/978, 791/882, 889/375) = 10045700/3

LCM of 700/978, 791/882, 889/375

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 700/978,791/882,889/375

Given numbers are 700/978,791/882,889/375

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 700,791,889

Least Common Multiple of Numerators i.e. LCM of 700,791,889 is 10045700.

GCF of Denominators means GCF of 978,882,375 as per the given fractions.

GCF of 978,882,375 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,791,889

LCM of Fractions 700/978,791/882,889/375 is 10045700/3

7 700, 791, 889
100, 113, 127

∴ So the LCM of the given numbers is 7 x 100 x 113 x 127 = 10045700

Least Common Multiple of 700,791,889 with GCF Formula

Least Common Multiple of 700,791,889 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 700,791,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,791,889) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(700,791,889) x common factors =7 x 7 = 49

LCM(700,791,889) = ( 700 × 791 × 889 ) / 49

LCM(700,791,889) = 492239300 / 49

LCM(700,791,889) = 10045700


Lets's calculate GCF of 978,882,375

3 978, 882, 375
326, 294, 125

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10045700/3

Therefore the LCM of Fractions 700/978,791/882,889/375 is 10045700/3

Greatest Common Factor of 978,882,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,882,375 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 978,882,375 . The biggest common factor number is the GCF number.
So the greatest common factor 978,882,375 is 3.


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 700/978, 791/882, 889/375

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 700/978, 791/882, 889/375?

Answer: LCM of Numerators as per given numbers 700/978, 791/882, 889/375 is

LCM of Numerators i.e. for 700,791,889 is 10045700

GCF of denominators i.e. for 978,882,375 is 3.

Thus, LCM of Fractions is 10045700/3.Finally, LCM of Fractions for 700/978, 791/882, 889/375 is 10045700/3.