Least Common Multiple of 210/308, 1015/7651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/308, 1015/7651 quickly i.e. 870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/308, 1015/7651 is 870.

LCM(210/308, 1015/7651) = 870

LCM of 210/308, 1015/7651

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 210/308,1015/7651

Given numbers are 210/308,1015/7651

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 210,1015

Least Common Multiple of Numerators i.e. LCM of 210,1015 is 6090.

GCF of Denominators means GCF of 308,7651 as per the given fractions.

GCF of 308,7651 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,1015

LCM of Fractions 210/308,1015/7651 is 870

5 210, 1015
7 42, 203
6, 29

∴ So the LCM of the given numbers is 5 x 7 x 6 x 29 = 6090

Least Common Multiple of 210,1015 with GCF Formula

Least Common Multiple of 210,1015 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 210,1015 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,1015) = 35

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

GCF(210,1015) x common factors =35 x 1 = 35

LCM(210,1015) = ( 210 × 1015 ) / 35

LCM(210,1015) = 213150 / 35

LCM(210,1015) = 6090


Lets's calculate GCF of 308,7651

7 308, 7651
44, 1093

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6090/7

Therefore the LCM of Fractions 210/308,1015/7651 is 870

Greatest Common Factor of 308,7651 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,7651 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 7651

List of positive integer factors of 7651 that divides 7651 without a remainder.

1,7,1093,7651

Greatest Common Factor

We found the factors 308,7651 . The biggest common factor number is the GCF number.
So the greatest common factor 308,7651 is 7.


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 210/308, 1015/7651

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 210/308, 1015/7651?

Answer: LCM of Numerators as per given numbers 210/308, 1015/7651 is

LCM of Numerators i.e. for 210,1015 is 6090

GCF of denominators i.e. for 308,7651 is 7.

Thus, LCM of Fractions is 870.Finally, LCM of Fractions for 210/308, 1015/7651 is 870.