Least Common Multiple of 700/527, 6460/7028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 700/527, 6460/7028 quickly i.e. 226100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/527, 6460/7028 is 226100.

LCM(700/527, 6460/7028) = 226100

LCM of 700/527, 6460/7028

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 700/527,6460/7028

Given numbers are 700/527,6460/7028

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 700,6460

Least Common Multiple of Numerators i.e. LCM of 700,6460 is 226100.

GCF of Denominators means GCF of 527,7028 as per the given fractions.

GCF of 527,7028 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,6460

LCM of Fractions 700/527,6460/7028 is 226100

2 700, 6460
2 350, 3230
5 175, 1615
35, 323

∴ So the LCM of the given numbers is 2 x 2 x 5 x 35 x 323 = 226100

Least Common Multiple of 700,6460 with GCF Formula

Least Common Multiple of 700,6460 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 700,6460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,6460) = 20

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

GCF(700,6460) x common factors =20 x 1 = 20

LCM(700,6460) = ( 700 × 6460 ) / 20

LCM(700,6460) = 4522000 / 20

LCM(700,6460) = 226100


Lets's calculate GCF of 527,7028

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226100/1

Therefore the LCM of Fractions 700/527,6460/7028 is 226100

Greatest Common Factor of 527,7028 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,7028 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 7028

List of positive integer factors of 7028 that divides 7028 without a remainder.

1,2,4,7,14,28,251,502,1004,1757,3514,7028

Greatest Common Factor

We found the factors 527,7028 . The biggest common factor number is the GCF number.
So the greatest common factor 527,7028 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 700/527, 6460/7028

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 700/527, 6460/7028?

Answer: LCM of Numerators as per given numbers 700/527, 6460/7028 is

LCM of Numerators i.e. for 700,6460 is 226100

GCF of denominators i.e. for 527,7028 is 1.

Thus, LCM of Fractions is 226100.Finally, LCM of Fractions for 700/527, 6460/7028 is 226100.