Least Common Multiple of 700/86, 1356/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/86, 1356/972 quickly i.e. 118650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/86, 1356/972 is 118650.

LCM(700/86, 1356/972) = 118650

LCM of 700/86, 1356/972

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 700/86,1356/972

Given numbers are 700/86,1356/972

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 700,1356

Least Common Multiple of Numerators i.e. LCM of 700,1356 is 237300.

GCF of Denominators means GCF of 86,972 as per the given fractions.

GCF of 86,972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,1356

LCM of Fractions 700/86,1356/972 is 118650

2 700, 1356
2 350, 678
175, 339

∴ So the LCM of the given numbers is 2 x 2 x 175 x 339 = 237300

Least Common Multiple of 700,1356 with GCF Formula

Least Common Multiple of 700,1356 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 700,1356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,1356) = 4

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

GCF(700,1356) x common factors =4 x 1 = 4

LCM(700,1356) = ( 700 × 1356 ) / 4

LCM(700,1356) = 949200 / 4

LCM(700,1356) = 237300


Lets's calculate GCF of 86,972

2 86, 972
43, 486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237300/2

Therefore the LCM of Fractions 700/86,1356/972 is 118650

Greatest Common Factor of 86,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,972 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 86,972 . The biggest common factor number is the GCF number.
So the greatest common factor 86,972 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 700/86, 1356/972

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 700/86, 1356/972?

Answer: LCM of Numerators as per given numbers 700/86, 1356/972 is

LCM of Numerators i.e. for 700,1356 is 237300

GCF of denominators i.e. for 86,972 is 2.

Thus, LCM of Fractions is 118650.Finally, LCM of Fractions for 700/86, 1356/972 is 118650.